Finding the Third Proportional to 111,600 and 240,288

Step by Step Solution

1. Step 1: Write the proportion equation
   111,600 : 240,288 = 240,288 : x
2. Step 2: Convert to fraction form
   111,600/240,288 = 240,288/x
3. Step 3: Cross multiply
   111,600x = 240,288 × 240,288
4. Step 4: Simplify right side
   111,600x = 57,738,322,944
5. Step 5: Solve for x
   x = 57,738,322,944/111,600
6. Step 6: Final answer
   x = 517,368.49