Finding the Third Proportional to 111,024 and 240,768

Step by Step Solution

1. Step 1: Write the proportion equation
   111,024 : 240,768 = 240,768 : x
2. Step 2: Convert to fraction form
   111,024/240,768 = 240,768/x
3. Step 3: Cross multiply
   111,024x = 240,768 × 240,768
4. Step 4: Simplify right side
   111,024x = 57,969,229,824
5. Step 5: Solve for x
   x = 57,969,229,824/111,024
6. Step 6: Final answer
   x = 522,132.42