Finding the Third Proportional to 111,496 and 238,256

Step by Step Solution

1. Step 1: Write the proportion equation
   111,496 : 238,256 = 238,256 : x
2. Step 2: Convert to fraction form
   111,496/238,256 = 238,256/x
3. Step 3: Cross multiply
   111,496x = 238,256 × 238,256
4. Step 4: Simplify right side
   111,496x = 56,765,921,536
5. Step 5: Solve for x
   x = 56,765,921,536/111,496
6. Step 6: Final answer
   x = 509,129.67