Finding the Third Proportional to 111,944 and 230,452

Step by Step Solution

1. Step 1: Write the proportion equation
   111,944 : 230,452 = 230,452 : x
2. Step 2: Convert to fraction form
   111,944/230,452 = 230,452/x
3. Step 3: Cross multiply
   111,944x = 230,452 × 230,452
4. Step 4: Simplify right side
   111,944x = 53,108,124,304
5. Step 5: Solve for x
   x = 53,108,124,304/111,944
6. Step 6: Final answer
   x = 474,416.89