India's lone starter Chawrasia had a nightmarish back nine in the second round.
He shot 79 after a 70 in the first round.
Chawrasia will play in Dubai Desert Classic next week.
Wang, one of the star players in Asia, was among the record-breaking nine golfers to start the third round with a share of the lead at Doha Golf Club, but he pulled clear from the pack with seven birdies to move to 15 under par for the tournament.
He was 11th in last week's Abu Dhabi HSBC Championship, and the windy conditions in Doha have proved to his liking, as he produced a faultless display of shot-making to spread the field.
South African Jaco Van Zyl and Spaniard Nacho Elvira will lead the pack chasing Wang in the final round after both players signed for rounds of 68.
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