Use the Gauss$-$Seidel method to solve the following system of equations. Use initial values $(0$th iteration$)$ as $x_1=0,x_2=0,$ and $x_3=0.$ What is the value of $x_2$ after second iteration? Write your final answer in three decimal places.

$9\mathrm{.}6x_1-3\mathrm{.}7x_2-2\mathrm{.}3x_3=6\mathrm{.}5$

$3\mathrm{.}4x_1+7\mathrm{.}3x_2+1\mathrm{.}9x_3=13\mathrm{.}7$

$1\mathrm{.}0x_1+1\mathrm{.}3x_2+5\mathrm{.}2x_3=0\mathrm{.}6$