Finding the Third Proportional to 41,185 and 89,762

Step by Step Solution

1. Step 1: Write the proportion equation
   41,185 : 89,762 = 89,762 : x
2. Step 2: Convert to fraction form
   41,185/89,762 = 89,762/x
3. Step 3: Cross multiply
   41,185x = 89,762 × 89,762
4. Step 4: Simplify right side
   41,185x = 8,057,216,644
5. Step 5: Solve for x
   x = 8,057,216,644/41,185
6. Step 6: Final answer
   x = 195,634.74