Finding the Third Proportional to 103,600 and 222,304

Step by Step Solution

1. Step 1: Write the proportion equation
   103,600 : 222,304 = 222,304 : x
2. Step 2: Convert to fraction form
   103,600/222,304 = 222,304/x
3. Step 3: Cross multiply
   103,600x = 222,304 × 222,304
4. Step 4: Simplify right side
   103,600x = 49,419,068,416
5. Step 5: Solve for x
   x = 49,419,068,416/103,600
6. Step 6: Final answer
   x = 477,018.03