A company needs to have $$500,000$ available in three years in order to pay off a loan. If the company invests the money at $10\%,$ compounded annually, how much must be invested today in order to have the necessary balance?

$($a$)$ $$350,000.$

$($b$)$ $$151,057.$

$($c$)$ $$400,000.$

$($d$)$ $$375,657.$