Finding the Third Proportional to 111,920 and 240,404

Step by Step Solution

1. Step 1: Write the proportion equation
   111,920 : 240,404 = 240,404 : x
2. Step 2: Convert to fraction form
   111,920/240,404 = 240,404/x
3. Step 3: Cross multiply
   111,920x = 240,404 × 240,404
4. Step 4: Simplify right side
   111,920x = 57,794,083,216
5. Step 5: Solve for x
   x = 57,794,083,216/111,920
6. Step 6: Final answer
   x = 516,387.45