If Boston’s housing market is hot, then the center of the city is even hotter.

Condo prices in central Boston hit record highs in the third quarter, according to two recent reports, with the median price reaching $913,500, 43 percent above last year, according to data from real estate marketing firm LINK.

Driving that surge was Millennium Tower, which closed on most of its 442 units in the quarter that ended Sept. 30, at an average price of more than $1,400 per square foot, according to Campion & Co. But even absent the Downtown Crossing skyscraper, the median price of condos sold in central Boston rose 12 percent, and hit records in neighborhoods from Charlestown to the South End.