Finding the Third Proportional to 41,137 and 88,105

Step by Step Solution

1. Step 1: Write the proportion equation
   41,137 : 88,105 = 88,105 : x
2. Step 2: Convert to fraction form
   41,137/88,105 = 88,105/x
3. Step 3: Cross multiply
   41,137x = 88,105 × 88,105
4. Step 4: Simplify right side
   41,137x = 7,762,491,025
5. Step 5: Solve for x
   x = 7,762,491,025/41,137
6. Step 6: Final answer
   x = 188,698.52