Finding the Third Proportional to 88,536 and 133,140

Step by Step Solution

1. Step 1: Write the proportion equation
   88,536 : 133,140 = 133,140 : x
2. Step 2: Convert to fraction form
   88,536/133,140 = 133,140/x
3. Step 3: Cross multiply
   88,536x = 133,140 × 133,140
4. Step 4: Simplify right side
   88,536x = 17,726,259,600
5. Step 5: Solve for x
   x = 17,726,259,600/88,536
6. Step 6: Final answer
   x = 200,215.28