Finding the Third Proportional to 88,692 and 132,688.50

Step by Step Solution

1. Step 1: Write the proportion equation
   88,692 : 132,688.50 = 132,688.50 : x
2. Step 2: Convert to fraction form
   88,692/132,688.50 = 132,688.50/x
3. Step 3: Cross multiply
   88,692x = 132,688.50 × 132,688.50
4. Step 4: Simplify right side
   88,692x = 17,606,238,032.25
5. Step 5: Solve for x
   x = 17,606,238,032.25/88,692
6. Step 6: Final answer
   x = 198,509.88