Finding the Third Proportional to 111.75 and 243.75

Step by Step Solution

1. Step 1: Write the proportion equation
   111.75 : 243.75 = 243.75 : x
2. Step 2: Convert to fraction form
   111.75/243.75 = 243.75/x
3. Step 3: Cross multiply
   111.75x = 243.75 × 243.75
4. Step 4: Simplify right side
   111.75x = 59,414.06
5. Step 5: Solve for x
   x = 59,414.06/111.75
6. Step 6: Final answer
   x = 531.67