Finding the Third Proportional to 110,780 and 240,256

Step by Step Solution

1. Step 1: Write the proportion equation
   110,780 : 240,256 = 240,256 : x
2. Step 2: Convert to fraction form
   110,780/240,256 = 240,256/x
3. Step 3: Cross multiply
   110,780x = 240,256 × 240,256
4. Step 4: Simplify right side
   110,780x = 57,722,945,536
5. Step 5: Solve for x
   x = 57,722,945,536/110,780
6. Step 6: Final answer
   x = 521,059.27