Finding the Third Proportional to 88,641 and 131,569

Step by Step Solution

1. Step 1: Write the proportion equation
   88,641 : 131,569 = 131,569 : x
2. Step 2: Convert to fraction form
   88,641/131,569 = 131,569/x
3. Step 3: Cross multiply
   88,641x = 131,569 × 131,569
4. Step 4: Simplify right side
   88,641x = 17,310,401,761
5. Step 5: Solve for x
   x = 17,310,401,761/88,641
6. Step 6: Final answer
   x = 195,286.63