Jenny is interested in retiring in the next $8$ years. Currently, she has $$1,005,410$ in her retirement account. However, she is interested in reaching $$3,000,000$ in the account by the time she retires. Given this information, what rate of return will Jenny need to earn in her account in order to reach her savings goal?

$19\mathrm{.}6\%$

$17\mathrm{.}1\%$

$12\mathrm{.}8\%$

$14\mathrm{.}6\%$