Finding the Third Proportional to 152,862 and 316,524

Step by Step Solution

1. Step 1: Write the proportion equation
   152,862 : 316,524 = 316,524 : x
2. Step 2: Convert to fraction form
   152,862/316,524 = 316,524/x
3. Step 3: Cross multiply
   152,862x = 316,524 × 316,524
4. Step 4: Simplify right side
   152,862x = 100,187,442,576
5. Step 5: Solve for x
   x = 100,187,442,576/152,862
6. Step 6: Final answer
   x = 655,411.04