Finding the Third Proportional to 256,610 and 562,792

Step by Step Solution

1. Step 1: Write the proportion equation
   256,610 : 562,792 = 562,792 : x
2. Step 2: Convert to fraction form
   256,610/562,792 = 562,792/x
3. Step 3: Cross multiply
   256,610x = 562,792 × 562,792
4. Step 4: Simplify right side
   256,610x = 316,734,835,264
5. Step 5: Solve for x
   x = 316,734,835,264/256,610
6. Step 6: Final answer
   x = 1,234,304.33