Finding the Third Proportional to 81,324 and 123,552

Step by Step Solution

1. Step 1: Write the proportion equation
   81,324 : 123,552 = 123,552 : x
2. Step 2: Convert to fraction form
   81,324/123,552 = 123,552/x
3. Step 3: Cross multiply
   81,324x = 123,552 × 123,552
4. Step 4: Simplify right side
   81,324x = 15,265,096,704
5. Step 5: Solve for x
   x = 15,265,096,704/81,324
6. Step 6: Final answer
   x = 187,707.16