Finding the Third Proportional to 111,416 and 227,150

Step by Step Solution

1. Step 1: Write the proportion equation
   111,416 : 227,150 = 227,150 : x
2. Step 2: Convert to fraction form
   111,416/227,150 = 227,150/x
3. Step 3: Cross multiply
   111,416x = 227,150 × 227,150
4. Step 4: Simplify right side
   111,416x = 51,597,122,500
5. Step 5: Solve for x
   x = 51,597,122,500/111,416
6. Step 6: Final answer
   x = 463,103.35