Finding the Third Proportional to 88,540 and 133,144

Step by Step Solution

1. Step 1: Write the proportion equation
   88,540 : 133,144 = 133,144 : x
2. Step 2: Convert to fraction form
   88,540/133,144 = 133,144/x
3. Step 3: Cross multiply
   88,540x = 133,144 × 133,144
4. Step 4: Simplify right side
   88,540x = 17,727,324,736
5. Step 5: Solve for x
   x = 17,727,324,736/88,540
6. Step 6: Final answer
   x = 200,218.26