Finding the Third Proportional to 88,581 and 132,627

Step by Step Solution

1. Step 1: Write the proportion equation
   88,581 : 132,627 = 132,627 : x
2. Step 2: Convert to fraction form
   88,581/132,627 = 132,627/x
3. Step 3: Cross multiply
   88,581x = 132,627 × 132,627
4. Step 4: Simplify right side
   88,581x = 17,589,921,129
5. Step 5: Solve for x
   x = 17,589,921,129/88,581
6. Step 6: Final answer
   x = 198,574.42