Finding the Third Proportional to 41,119 and 89,675

Step by Step Solution

1. Step 1: Write the proportion equation
   41,119 : 89,675 = 89,675 : x
2. Step 2: Convert to fraction form
   41,119/89,675 = 89,675/x
3. Step 3: Cross multiply
   41,119x = 89,675 × 89,675
4. Step 4: Simplify right side
   41,119x = 8,041,605,625
5. Step 5: Solve for x
   x = 8,041,605,625/41,119
6. Step 6: Final answer
   x = 195,569.10