Finding the Third Proportional to 111,928 and 240,416

Step by Step Solution

1. Step 1: Write the proportion equation
   111,928 : 240,416 = 240,416 : x
2. Step 2: Convert to fraction form
   111,928/240,416 = 240,416/x
3. Step 3: Cross multiply
   111,928x = 240,416 × 240,416
4. Step 4: Simplify right side
   111,928x = 57,799,853,056
5. Step 5: Solve for x
   x = 57,799,853,056/111,928
6. Step 6: Final answer
   x = 516,402.09