Finding the Third Proportional to 105,996 and 224,256

Step by Step Solution

1. Step 1: Write the proportion equation
   105,996 : 224,256 = 224,256 : x
2. Step 2: Convert to fraction form
   105,996/224,256 = 224,256/x
3. Step 3: Cross multiply
   105,996x = 224,256 × 224,256
4. Step 4: Simplify right side
   105,996x = 50,290,753,536
5. Step 5: Solve for x
   x = 50,290,753,536/105,996
6. Step 6: Final answer
   x = 474,458.98