Finding the Third Proportional to 152,536.50 and 315,684

Step by Step Solution

1. Step 1: Write the proportion equation
   152,536.50 : 315,684 = 315,684 : x
2. Step 2: Convert to fraction form
   152,536.50/315,684 = 315,684/x
3. Step 3: Cross multiply
   152,536.50x = 315,684 × 315,684
4. Step 4: Simplify right side
   152,536.50x = 99,656,387,856
5. Step 5: Solve for x
   x = 99,656,387,856/152,536.50
6. Step 6: Final answer
   x = 653,328.14