England made the highest one-day worldwide total in history, posting 481-6 against Australia in the third ODI at Trent Bridge. Australia were unable to climb the steep mountain before them, falling to 239 all out and a 242-run defeat.
England spinners Adil Rashid (four for 47) and Moeen Ali (three for 28), with a mountain of runs behind them, shared seven wickets.
If they can't, England will register their first whitewash in a five match ODI series since the tour to Zimbabwe in 2001.
But while it was the batsmen that were humiliated on that last visit to the English East Midlands, it was an inexperienced bowling attack that were ruthlessly hammered this time.
England absolutely demolished Australia, beating their own world record by 37 runs and scoring 6-481 against Australia's paltry all-out for 239. AJ Tye went wicketless for 100 runs from nine overs and Jhye Richardson boasted the best figures of 3-92.
Bairstow, who opened the batting and got the home team off to a flawless start as he and Jason Roy (82) put on 159 inside 20 overs, has now scored four centuries in his last six ODI innings.
Frustratingly for Australia, Ashton Agar looked to have trapped Bairstow lbw for 27 when umpire Kumar Dharmasena raised the finger.
Most ODI boundaries: England hit 41 fours and 21 sixes in their innings.
When Tim Paine won the toss on a glorious afternoon at Trent Bridge and surprisingly opted to chase, little would he have anticipated the mayhem that was about to ensue.
Bairstow's entertaining innings came to an end when he picked out Richardson in the deep, with Agar finally getting his man 112 runs after he first thought he had him.
The 242-run margin is also the biggest defeat in terms of runs for Australia in ODI cricket. Their previous biggest was by 210 runs against New Zealand in the 2015 Birmingham ODI.
This is also the second highest score ever in List A cricket. Mick Lewis conceded 113 runs against South Africa in the 2006 Johannesburg ODI.
"The sky's the limit with these guys", Morgan added after England, the 2019 World Cup hosts, cemented their place at the top of the ODI rankings in style. Morgan then arrived to hit 50 off 22 balls, the fastest ever by an England player. That's only happened once before in the nation's ODI history, at the same venue in 2016.