Finding the Third Proportional to 357,414 and 714,792

Step by Step Solution

1. Step 1: Write the proportion equation
   357,414 : 714,792 = 714,792 : x
2. Step 2: Convert to fraction form
   357,414/714,792 = 714,792/x
3. Step 3: Cross multiply
   357,414x = 714,792 × 714,792
4. Step 4: Simplify right side
   357,414x = 510,927,603,264
5. Step 5: Solve for x
   x = 510,927,603,264/357,414
6. Step 6: Final answer
   x = 1,429,512.00