Kohli made 160 not out from 159 balls as India, who had been put into bat, posted 303 for six in their 50 overs, before restricting their hosts to 179 all out to take a 3-0 lead in the series.
Mohammed Shami produced a brilliant spell of reverse swing bowling to strike the mortal blows that earned India victory by 203 runs in the first Test.
With an unassailable 3-0 lead in hand, India need just one more win to claim their maiden ODI series triumph on South African soil.
Rahul Tripathi batted like a man on a mission before Umran Malik sizzled with his pace as Sunrisers Hyderabad kept their slim IPL play-off hopes alive with a narrow three-run win over Mumbai Indians in Mumbai on Tuesday.
For South Africa, Rassie van der Dussen has advanced three slots to the sixth position, just one shy of his career-best, after scores of 34 not out and 52.
South Africa built a sizeable second-innings lead after reaching 65 for two against India at the close on day two of the opening Test at Newlands on Saturday but were sweating over another potential injury blow for experienced seamer Dale Steyn.
Mayank Agarwal showed insatiable appetite for runs, converting his maiden Test hundred into a brilliant double before the Indian spinners tightened the noose around the exhausted South Africans on the second day of the first Test.
After electing to bat, Sri Lanka were bowled out for 225, three balls short of their 50 overs, for another below-par score in a series where they have found no answer to South Africa's rampant pace and spin attack.
In other big movements, Punjab Kings have released their last edition's captain Mayank Agarwal, while West Indies skipper Nicholas Pooran was released by Sunrisers Hyderabad.
The Indian team's strategy is expected to undergo paradigm shift with some players getting a subtle yet stern message to lift their games as they face an embarrassing possibility of a clean sweep against South Africa in the third ODI, in Cape Town on Sunday.
Nortje, Markram among players nominated for CSA top awards.
Opener Aiden Markram made a return to form as he scored 78 to help South Africa into a strong position on the opening day of the second Test against Pakistan at Newlands on Thursday.
Take a look at top picks of all 10 IPL teams
Avesh Khan excelled with the ball to lift Lucknow Super Giants to a thrilling 12-run victory against Sunrisers Hyderabad in their IPL 2022 match at the DY Patil stadium in Navi Mumbai on Monday.
Hasan took career-best figures of 10-114 in the match as South Africa lost their last seven wickets for the addition of only 33 runs.
South Africa beat Sri Lanka by 87 runs
Eyeing a top-two finish, Chennai Super Kings will start as the firm favourites when they take on Punjab Kings in the Indian Premier League, in Dubai, on Thursday.
South Africa captain Faf du Plessis walked for the toss along with Temba Bavuma as the proxy captain, who was given the responsibility of calling the toss.
Punjab, who are on eight points from 11 games, need to win the match to keep their play-offs hopes alive, while KKR (10 points from 11 games) also need a victory to boost their hopes.
India will be desperately hoping that Rohit replicates his limited overs success in the traditional format
Elgar looked set for his 13th Test ton until he offered Sri Lanka seamer Dasun Shanaka a sharp caught-and-bowled chance that was superbly taken.
South Africa captain Faf du Plessis will miss the first Test against England at Lords starting on Thursday due to family reasons, the cricket board confirmed.
The Men in Blue are on a 12-match winning streak and come Thursday, they can create an all-time record of winning 13 T20I games in a row.
Collingwood 'amazed' by questions about Root's captaincy
South Africa skipper Temba Bavuma says "it wasn't ideal" to get a directive on taking the knee hours before the start of their T20 World Cup match against the West Indies and promised to be there for Quinton de Kock, who chose to withdraw from the game instead of following the order.
Kagiso Rabada took five wickets as Bangladesh were bowled out for 147 in their first innings on the second day of the second Test and forced to follow-on by South Africa at the Mangaung Oval in Bloemfontein.
South Africa can take inspiration from Sri Lanka's upset win over hosts England and string together victories to keep their slim World Cup hopes alive, batsman Aiden Markram said.
Jos Buttler is still the front-runner to be this IPL's MVP. He still has at least two matches to play and one big knock will win it for him. Purnendu Maji and Srinivas Bhogle list Rediff.com's Most Valuable Players after the end of the 70 league matches in IPL 2022.
Whether he is batting in the middle or fielding at the boundary line, Virat Kohli's every move will be tracked, though some of that attention will now be on skipper K L Rahul.
Cricket fans, critics and some former players have pointed out that de Kock "deliberately misled" Zaman into believing the ball was at the non-strikers end and then ran him out.
Pujara was placed sixth, down one rung, with 791 points, while Rahane occupied the ninth spot after slipping a couple of positions with 759 points.
While wicket-keeper-batsman Klaasen recently notched 69 runs from 30 balls in South Africa's six-wicket win over India in the 2nd T20I, 20-year-old Mulder has played a single ODI against Bangladesh at East London in October 2017.
The visitors won the first two matches of the series in Durban and Centurion by six and nine wickets, respectively, dismantling the home side with consummate ease.
Images from Day 3 of the third Test between South Africa and India, in Cape Town, on Thursday.
South Africa must look to emulate England as they look to rebuild their squad and change their one-day international mentality following a premature exit from the World Cup, former all-rounder Jacques Kallis said.
India's formidably consistent match-winners have a date with history in the New Year when they take on an out-of-sorts South Africa in the second Test in Johannesburg from Monday in pursuit of a coveted first-ever series win in the Rainbow Nation.
Images from Sunday, Day 4 of the second Test between India and South Africa, in Pune.
India have a real shot at winning their first ever away series against South Africa,
Purnendu Maji and Srinivas Bhogle pick the 50 Most Valuable Players in IPL 2022 after Game 55.
Fulfilling the quota requirements while fielding a competitive team has long been a sensitive issue but after a poor 2019, returning to winning ways looks to be the immediate priority of the four selectors, two of whom are black.
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