Finding the Third Proportional to 329,019 and 714,414

Step by Step Solution

1. Step 1: Write the proportion equation
   329,019 : 714,414 = 714,414 : x
2. Step 2: Convert to fraction form
   329,019/714,414 = 714,414/x
3. Step 3: Cross multiply
   329,019x = 714,414 × 714,414
4. Step 4: Simplify right side
   329,019x = 510,387,363,396
5. Step 5: Solve for x
   x = 510,387,363,396/329,019
6. Step 6: Final answer
   x = 1,551,239.79