Finding the Third Proportional to 85,902.50 and 132,742

Step by Step Solution

1. Step 1: Write the proportion equation
   85,902.50 : 132,742 = 132,742 : x
2. Step 2: Convert to fraction form
   85,902.50/132,742 = 132,742/x
3. Step 3: Cross multiply
   85,902.50x = 132,742 × 132,742
4. Step 4: Simplify right side
   85,902.50x = 17,620,438,564
5. Step 5: Solve for x
   x = 17,620,438,564/85,902.50
6. Step 6: Final answer
   x = 205,121.37