Finding the Third Proportional to 108,544 and 222,464

Step by Step Solution

1. Step 1: Write the proportion equation
   108,544 : 222,464 = 222,464 : x
2. Step 2: Convert to fraction form
   108,544/222,464 = 222,464/x
3. Step 3: Cross multiply
   108,544x = 222,464 × 222,464
4. Step 4: Simplify right side
   108,544x = 49,490,231,296
5. Step 5: Solve for x
   x = 49,490,231,296/108,544
6. Step 6: Final answer
   x = 455,946.26