Finding the Third Proportional to 40,816 and 89,456

Step by Step Solution

1. Step 1: Write the proportion equation
   40,816 : 89,456 = 89,456 : x
2. Step 2: Convert to fraction form
   40,816/89,456 = 89,456/x
3. Step 3: Cross multiply
   40,816x = 89,456 × 89,456
4. Step 4: Simplify right side
   40,816x = 8,002,375,936
5. Step 5: Solve for x
   x = 8,002,375,936/40,816
6. Step 6: Final answer
   x = 196,059.78