Finding the Third Proportional to 41,228 and 89,816

Step by Step Solution

1. Step 1: Write the proportion equation
   41,228 : 89,816 = 89,816 : x
2. Step 2: Convert to fraction form
   41,228/89,816 = 89,816/x
3. Step 3: Cross multiply
   41,228x = 89,816 × 89,816
4. Step 4: Simplify right side
   41,228x = 8,066,913,856
5. Step 5: Solve for x
   x = 8,066,913,856/41,228
6. Step 6: Final answer
   x = 195,665.90