Finding the Third Proportional to 41,101 and 89,812

Step by Step Solution

1. Step 1: Write the proportion equation
   41,101 : 89,812 = 89,812 : x
2. Step 2: Convert to fraction form
   41,101/89,812 = 89,812/x
3. Step 3: Cross multiply
   41,101x = 89,812 × 89,812
4. Step 4: Simplify right side
   41,101x = 8,066,195,344
5. Step 5: Solve for x
   x = 8,066,195,344/41,101
6. Step 6: Final answer
   x = 196,253.02