Finding the Third Proportional to 82,552 and 111,474

Step by Step Solution

1. Step 1: Write the proportion equation
   82,552 : 111,474 = 111,474 : x
2. Step 2: Convert to fraction form
   82,552/111,474 = 111,474/x
3. Step 3: Cross multiply
   82,552x = 111,474 × 111,474
4. Step 4: Simplify right side
   82,552x = 12,426,452,676
5. Step 5: Solve for x
   x = 12,426,452,676/82,552
6. Step 6: Final answer
   x = 150,528.79