Finding the Third Proportional to 111,948 and 240,456

Step by Step Solution

1. Step 1: Write the proportion equation
   111,948 : 240,456 = 240,456 : x
2. Step 2: Convert to fraction form
   111,948/240,456 = 240,456/x
3. Step 3: Cross multiply
   111,948x = 240,456 × 240,456
4. Step 4: Simplify right side
   111,948x = 57,819,087,936
5. Step 5: Solve for x
   x = 57,819,087,936/111,948
6. Step 6: Final answer
   x = 516,481.65