Finding the Third Proportional to 41,111 and 89,649

Step by Step Solution

1. Step 1: Write the proportion equation
   41,111 : 89,649 = 89,649 : x
2. Step 2: Convert to fraction form
   41,111/89,649 = 89,649/x
3. Step 3: Cross multiply
   41,111x = 89,649 × 89,649
4. Step 4: Simplify right side
   41,111x = 8,036,943,201
5. Step 5: Solve for x
   x = 8,036,943,201/41,111
6. Step 6: Final answer
   x = 195,493.74