Looks like King County saw an increase of 33,000 putting it at about 2,080,000 inhabitants. At least half that growth is probably from the city of the Seattle, so I imagine Seattle's estimate will be around 667,000. When are the city estimates due?
City and town estimates are due in May.
Keep in mind that the city and town estimates just distribute county population based on housing unit construction; they don't have data on births and deaths at the subcounty level. So they should be taken with more caution.