Finding the Third Proportional to 111,944 and 240,448

Step by Step Solution

1. Step 1: Write the proportion equation
   111,944 : 240,448 = 240,448 : x
2. Step 2: Convert to fraction form
   111,944/240,448 = 240,448/x
3. Step 3: Cross multiply
   111,944x = 240,448 × 240,448
4. Step 4: Simplify right side
   111,944x = 57,815,240,704
5. Step 5: Solve for x
   x = 57,815,240,704/111,944
6. Step 6: Final answer
   x = 516,465.74