Finding the Third Proportional to 88,641 and 133,024.50

Step by Step Solution

1. Step 1: Write the proportion equation
   88,641 : 133,024.50 = 133,024.50 : x
2. Step 2: Convert to fraction form
   88,641/133,024.50 = 133,024.50/x
3. Step 3: Cross multiply
   88,641x = 133,024.50 × 133,024.50
4. Step 4: Simplify right side
   88,641x = 17,695,517,600.25
5. Step 5: Solve for x
   x = 17,695,517,600.25/88,641
6. Step 6: Final answer
   x = 199,631.29