On June $30,$ Sharper Corporation$$s stockholders' equity section of its balance sheet appears as follows before any stock dividend or split. Sharper declares and immediately distributes a $50\%$ stock dividend.

Common stock$$$$10$ par value, $56,000$ shares issued and outstanding $ $560,000$

Paid$-$in capital in excess of par value, common stock $230,000$

Retained earnings $675,000$

Total stockholders$$ equity $ $1,465,000$

Assume that instead of distributing a stock dividend, Sharper did a $3-$for$-1$ stock split.

$(1)$ Prepare the updated stockholders' equity section after the split.

$(2)$ Compute the number of shares outstanding after the split.