Jenny and Johnny bought a house for $$300,000$ after they got married $10$ years ago.

They made no improvement on the house.

They sold the house for $$751,000$ today.

They paid various fees and commissions when selling the house; the total amount of these costs was $6\mathrm{.}5\%$ of the selling price.

Their average capital gain tax rate was $13\mathrm{.}5\%$ and marginal capital gain tax rate was $15\%.$

By using the home sale tax exemption, they can save capital gain tax payment of $ $\_\_\_\_\_\_.$