Finding the Third Proportional to 41,105 and 89,657

Step by Step Solution

1. Step 1: Write the proportion equation
   41,105 : 89,657 = 89,657 : x
2. Step 2: Convert to fraction form
   41,105/89,657 = 89,657/x
3. Step 3: Cross multiply
   41,105x = 89,657 × 89,657
4. Step 4: Simplify right side
   41,105x = 8,038,377,649
5. Step 5: Solve for x
   x = 8,038,377,649/41,105
6. Step 6: Final answer
   x = 195,557.17