Finding the Third Proportional to 111,466 and 225,812

Step by Step Solution

1. Step 1: Write the proportion equation
   111,466 : 225,812 = 225,812 : x
2. Step 2: Convert to fraction form
   111,466/225,812 = 225,812/x
3. Step 3: Cross multiply
   111,466x = 225,812 × 225,812
4. Step 4: Simplify right side
   111,466x = 50,991,059,344
5. Step 5: Solve for x
   x = 50,991,059,344/111,466
6. Step 6: Final answer
   x = 457,458.41