One light-year is the distance light travels in a 365-day year. The speed of light is about 186,282.4 miles per second. How long is a 2 light-year period (in miles). Express your answer in scientific notation.

MY WORK:

1 mile = 5280 feet

1 hour = 60 minutes = 3600 seconds

1 day = 24 hours * 3600 seconds = 86,400 seconds

Then 86,400 seconds * 365 days = 31,536,000 seconds

I don't know how to use this information to answer the math question.