Finding the Third Proportional to 87,381 and 128,200.50

Step by Step Solution

1. Step 1: Write the proportion equation
   87,381 : 128,200.50 = 128,200.50 : x
2. Step 2: Convert to fraction form
   87,381/128,200.50 = 128,200.50/x
3. Step 3: Cross multiply
   87,381x = 128,200.50 × 128,200.50
4. Step 4: Simplify right side
   87,381x = 16,435,368,200.25
5. Step 5: Solve for x
   x = 16,435,368,200.25/87,381
6. Step 6: Final answer
   x = 188,088.58