Finding the Third Proportional to 41,096 and 88,524

Step by Step Solution

1. Step 1: Write the proportion equation
   41,096 : 88,524 = 88,524 : x
2. Step 2: Convert to fraction form
   41,096/88,524 = 88,524/x
3. Step 3: Cross multiply
   41,096x = 88,524 × 88,524
4. Step 4: Simplify right side
   41,096x = 7,836,498,576
5. Step 5: Solve for x
   x = 7,836,498,576/41,096
6. Step 6: Final answer
   x = 190,687.62