Finding the Third Proportional to 456,156 and 708,048

Step by Step Solution

1. Step 1: Write the proportion equation
   456,156 : 708,048 = 708,048 : x
2. Step 2: Convert to fraction form
   456,156/708,048 = 708,048/x
3. Step 3: Cross multiply
   456,156x = 708,048 × 708,048
4. Step 4: Simplify right side
   456,156x = 501,331,970,304
5. Step 5: Solve for x
   x = 501,331,970,304/456,156
6. Step 6: Final answer
   x = 1,099,036.23