At the end of $10/2018,$ Mike took out a $30-$ year loan of $$300,000$ with monthly payment. The loan has an annual rate of $7\%.$ If$,$ at the end of $5/2024,$ instantly after the monthly payment, she prepaid $$50,000.$ How much interest she can save on $7/2024$ compared to if she did not prepay the $$50,000?$ Prepayment only reduces the loan balance on a loan but does not affect the monthly payment amount.

$$268\mathrm{.}67$

$$289$

$$180\mathrm{.}78$

$$293$