Finding the Third Proportional to 82,874.50 and 181,422

Step by Step Solution

1. Step 1: Write the proportion equation
   82,874.50 : 181,422 = 181,422 : x
2. Step 2: Convert to fraction form
   82,874.50/181,422 = 181,422/x
3. Step 3: Cross multiply
   82,874.50x = 181,422 × 181,422
4. Step 4: Simplify right side
   82,874.50x = 32,913,942,084
5. Step 5: Solve for x
   x = 32,913,942,084/82,874.50
6. Step 6: Final answer
   x = 397,154.04