Australia declared their second innings at tea on day four Sunday, setting India 407 to win the third Test at Sydney.
Cameron Green smashed an entertaining 84 with India facing a record-breaking run chase to win the third Test after Australia built an ominous 406-run lead by tea on day four Sunday as they zero in on 2-1 series lead
No team has bettered 288 to win in the fourth innings at the Sydney Cricket Ground, with Australia achieving that mark gainst South Africa in 2006.
Green fell on the stroke of tea after a maiden Test half-century, with captain Tim Paine unbeaten on 39 and Australia on 312 for six.
Steve Smith scored 81 and Marnus Labuschagne 73 with Ravi Ashwin and Mohammed Saini both taking two wickets each.
India have a mountain to climb, with the highest successful run chase at the Sydney Cricket Ground being 288, by Australia against South Africa in 2006.
India were dismissed for 244 in their first innings in reply to the hosts' 338.
Scoreboard after Australia declared their second innings on day four of the third Test against India at the Sydney Cricket Ground on Sunday:
India first innings 244 (S. Gill 50, C. Pujara 50; P Cummins 4-29)
Australia second innings (overnight 103 for two)
D. Warner lbw b Ashwin 13
W. Pucovski c sub (Saha) b Siraj 10
M. Labuschagne c sub (Saha) b Saini 73
S. Smith lbw b Ashwin 81
M. Wade c sub (Saha) b Saini 4
C. Green c sub (Saha) b Bumrah 84
T. Paine not out 39
Extras (b1, lb4, nb3) 8
Total (six wickets dec, 87 overs) 312
Did not bat: Pat Cummins, Mitchell Starc, Nathan Lyon, Josh Hazlewood
Fall of wickets: 1-16 (Pucovski), 2-35 (Warner), 3-138 (Labuschagne), 4-148 (Wade), 5-208 (Smith), 6-312 (Green)
Bowling: Bumrah 21-4-68-1, Siraj 25-5-90-1 (1nb), Saini 16-2-54-2 (2nb), Ashwin 25-1-95-2