Finding the Third Proportional to 41,165 and 89,941

Step by Step Solution

1. Step 1: Write the proportion equation
   41,165 : 89,941 = 89,941 : x
2. Step 2: Convert to fraction form
   41,165/89,941 = 89,941/x
3. Step 3: Cross multiply
   41,165x = 89,941 × 89,941
4. Step 4: Simplify right side
   41,165x = 8,089,383,481
5. Step 5: Solve for x
   x = 8,089,383,481/41,165
6. Step 6: Final answer
   x = 196,511.20