Finding the Third Proportional to 282,304 and 401,280

Step by Step Solution

1. Step 1: Write the proportion equation
   282,304 : 401,280 = 401,280 : x
2. Step 2: Convert to fraction form
   282,304/401,280 = 401,280/x
3. Step 3: Cross multiply
   282,304x = 401,280 × 401,280
4. Step 4: Simplify right side
   282,304x = 161,025,638,400
5. Step 5: Solve for x
   x = 161,025,638,400/282,304
6. Step 6: Final answer
   x = 570,398.00