Suppose you are $19$ years old and expect to work until age $68.$ You earn $$87,762$ per year. You expect inflation to be $2\%$ over your working life, and the risk$-$free discount rate is $3\%.$ Your personal consumption is equal to $27\%$ of your after$-$tax earnings. You are married filing jointly and face a combined federal and state marginal tax rate of $28\%.$ What is your expected life insurance needs according to the adjusted capitalization of earnings method

$[$Round the final answer to the nearest cent$]$