Finding the Third Proportional to 41,020 and 89,156

Step by Step Solution

1. Step 1: Write the proportion equation
   41,020 : 89,156 = 89,156 : x
2. Step 2: Convert to fraction form
   41,020/89,156 = 89,156/x
3. Step 3: Cross multiply
   41,020x = 89,156 × 89,156
4. Step 4: Simplify right side
   41,020x = 7,948,792,336
5. Step 5: Solve for x
   x = 7,948,792,336/41,020
6. Step 6: Final answer
   x = 193,778.46