Finding the Third Proportional to 384,280 and 566,472

Step by Step Solution

1. Step 1: Write the proportion equation
   384,280 : 566,472 = 566,472 : x
2. Step 2: Convert to fraction form
   384,280/566,472 = 566,472/x
3. Step 3: Cross multiply
   384,280x = 566,472 × 566,472
4. Step 4: Simplify right side
   384,280x = 320,890,526,784
5. Step 5: Solve for x
   x = 320,890,526,784/384,280
6. Step 6: Final answer
   x = 835,043.53