Marie has an opportunity to buy a small house from a friend. She will make a $25\%$ down payment and the remaining will be financed with a mortgage calling for monthly payments over $20$ years at $8\mathrm{.}5\%$ per annum interest. She is willing to put a maximum of $$500$ per month towards the mortgage payment. What is the maximum sales price of the lake house that she can afford?

Round to $2$ decimal places and no dollar sign.

For example: if the answer is $$103\mathrm{.}568$ then write down $103\mathrm{.}57$