his 76-ball stay at the crease.
With three days left in the game, India will look to come close to the Australian total and then push to seize the initiative.
Earlier, both the openers were out bowled. Vijay was the first to go after a 15-ball stay, which included two fours, done in by Pattinson's pace.
Sehwag quickly followed his partner back to the pavillion, failing to spot a slower one from Pattionson which bounced inside the crease and dislodged the bail of his leg stump.
But Pujara and Tendulkar steadied the rocking boat, bringing up the team's 50 in the 13th over. The two displayed patience but at the same time kept the scoreboard ticking.
They completed a half-century stand for the third wicket in 68 deliveries to rescue India from the precarious position.
Tendulkar was then joined by Kohli, who had a disappointing series against England, unleashed a flurry of shots to announce his return to form.
Earlier, in the morning session, Australian batsmen frustrated Indian bowlers with determined batting before being bowled out for 380 in their first innings.
Resuming at 316 for 7, the visitors resisted the home attack for 38 overs and added 64 runs. They were also helped to an extent by a few decisions that went in their favour much to to India's frustration.
Since the last-wicket pair of James Pattinson and Nathan Lyon was at the crease at the official lunch time, the morning session was extended and at the fall of the latter, the break was taken.
Indian off-spinner R Ashwin registered his career-best figures (7/103) while Ravindra Jadeja (2/71) took two wickets.
Michael Clarke and Peter Siddle kept the Indian bowlers at bay for about 90 minutes before the Australian captain went for an extravagant shot off Jadeja, miscued it and gave the hosts a chance to clean up the tail.
Clarke stepped out to loft Jadeja over his head for a straight six but just managed an edge that flew to the hands of Bhuvneshwar Kumar at long-off.
Clarke's splendid 130-run captain's knock came off 246 balls with 13 boundaries including one shot over the fence. It also ended 54-run fighting stand