Finding the Third Proportional to 82,874 and 181,877.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,874 : 181,877.50 = 181,877.50 : x
2. Step 2: Convert to fraction form
   82,874/181,877.50 = 181,877.50/x
3. Step 3: Cross multiply
   82,874x = 181,877.50 × 181,877.50
4. Step 4: Simplify right side
   82,874x = 33,079,425,006.25
5. Step 5: Solve for x
   x = 33,079,425,006.25/82,874
6. Step 6: Final answer
   x = 399,153.23