Finding the Third Proportional to 329,744 and 712,048

Step by Step Solution

1. Step 1: Write the proportion equation
   329,744 : 712,048 = 712,048 : x
2. Step 2: Convert to fraction form
   329,744/712,048 = 712,048/x
3. Step 3: Cross multiply
   329,744x = 712,048 × 712,048
4. Step 4: Simplify right side
   329,744x = 507,012,354,304
5. Step 5: Solve for x
   x = 507,012,354,304/329,744
6. Step 6: Final answer
   x = 1,537,593.87