You save $100$ per year for $10$ years. You want to withdraw x per year from your account for another $10$ years until the account is empty. The savings rate on the account is $5\%.$ What is the value of x$?$

$162\mathrm{.}89*$

$189\mathrm{.}21$

$206\mathrm{.}42$

$240\mathrm{.}16$