Finding the Third Proportional to 41,108 and 89,825

Step by Step Solution

1. Step 1: Write the proportion equation
   41,108 : 89,825 = 89,825 : x
2. Step 2: Convert to fraction form
   41,108/89,825 = 89,825/x
3. Step 3: Cross multiply
   41,108x = 89,825 × 89,825
4. Step 4: Simplify right side
   41,108x = 8,068,530,625
5. Step 5: Solve for x
   x = 8,068,530,625/41,108
6. Step 6: Final answer
   x = 196,276.41