Finding the Third Proportional to 59,096 and 88,644

Step by Step Solution

1. Step 1: Write the proportion equation
   59,096 : 88,644 = 88,644 : x
2. Step 2: Convert to fraction form
   59,096/88,644 = 88,644/x
3. Step 3: Cross multiply
   59,096x = 88,644 × 88,644
4. Step 4: Simplify right side
   59,096x = 7,857,758,736
5. Step 5: Solve for x
   x = 7,857,758,736/59,096
6. Step 6: Final answer
   x = 132,966