Finding the Third Proportional to 429,376 and 564,792

Step by Step Solution

1. Step 1: Write the proportion equation
   429,376 : 564,792 = 564,792 : x
2. Step 2: Convert to fraction form
   429,376/564,792 = 564,792/x
3. Step 3: Cross multiply
   429,376x = 564,792 × 564,792
4. Step 4: Simplify right side
   429,376x = 318,990,003,264
5. Step 5: Solve for x
   x = 318,990,003,264/429,376
6. Step 6: Final answer
   x = 742,915.31