Finding the Third Proportional to 41,187 and 89,766

Step by Step Solution

1. Step 1: Write the proportion equation
   41,187 : 89,766 = 89,766 : x
2. Step 2: Convert to fraction form
   41,187/89,766 = 89,766/x
3. Step 3: Cross multiply
   41,187x = 89,766 × 89,766
4. Step 4: Simplify right side
   41,187x = 8,057,934,756
5. Step 5: Solve for x
   x = 8,057,934,756/41,187
6. Step 6: Final answer
   x = 195,642.67