Finding the Third Proportional to 40,941 and 89,676

Step by Step Solution

1. Step 1: Write the proportion equation
   40,941 : 89,676 = 89,676 : x
2. Step 2: Convert to fraction form
   40,941/89,676 = 89,676/x
3. Step 3: Cross multiply
   40,941x = 89,676 × 89,676
4. Step 4: Simplify right side
   40,941x = 8,041,784,976
5. Step 5: Solve for x
   x = 8,041,784,976/40,941
6. Step 6: Final answer
   x = 196,423.76