Finding the Third Proportional to 108,944 and 222,496

Step by Step Solution

1. Step 1: Write the proportion equation
   108,944 : 222,496 = 222,496 : x
2. Step 2: Convert to fraction form
   108,944/222,496 = 222,496/x
3. Step 3: Cross multiply
   108,944x = 222,496 × 222,496
4. Step 4: Simplify right side
   108,944x = 49,504,470,016
5. Step 5: Solve for x
   x = 49,504,470,016/108,944
6. Step 6: Final answer
   x = 454,402.90