Himmat, a former winner on Asian Tour, who has been struggling to find his form, had four birdies against two bogeys and is exactly where he was after two rounds.
He birdied the second and ninth and added back-to-back birdies on 15 and 16. He dropped shots on 12th and 14th.
Himmat is six shots behind Thailand's Pijit Petchkasem (67) and Juvic Pagunsan (68) of the Philippines.
Multiple Asian Tour winner Angelo Que, playing on his home course, fired a sparkling 67 to lie one back of the leading duo while American Greg Moss is fourth, three back, on 202.
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Smooth-swinging Pagunsan, who shot a stunning 62 on Thursday for the halfway lead, made five birdies in a row from the fourth hole but was disappointed to drop shots on the second and 14th holes.
"I'm playing okay although my driving was a little bit off the mark. The wind was blowing all morning and it can be tricky out there," said Que, who is a three-time Asian Tour winner.