Finding the Third Proportional to 82,872.38 and 181,417.88

Step by Step Solution

1. Step 1: Write the proportion equation
   82,872.38 : 181,417.88 = 181,417.88 : x
2. Step 2: Convert to fraction form
   82,872.38/181,417.88 = 181,417.88/x
3. Step 3: Cross multiply
   82,872.38x = 181,417.88 × 181,417.88
4. Step 4: Simplify right side
   82,872.38x = 32,912,445,369.52
5. Step 5: Solve for x
   x = 32,912,445,369.52/82,872.38
6. Step 6: Final answer
   x = 397,146.16