Finding the Third Proportional to 88,077 and 132,142.50

Step by Step Solution

1. Step 1: Write the proportion equation
   88,077 : 132,142.50 = 132,142.50 : x
2. Step 2: Convert to fraction form
   88,077/132,142.50 = 132,142.50/x
3. Step 3: Cross multiply
   88,077x = 132,142.50 × 132,142.50
4. Step 4: Simplify right side
   88,077x = 17,461,640,306.25
5. Step 5: Solve for x
   x = 17,461,640,306.25/88,077
6. Step 6: Final answer
   x = 198,254.26