Finding the Third Proportional to 111.25 and 238.75

Step by Step Solution

1. Step 1: Write the proportion equation
   111.25 : 238.75 = 238.75 : x
2. Step 2: Convert to fraction form
   111.25/238.75 = 238.75/x
3. Step 3: Cross multiply
   111.25x = 238.75 × 238.75
4. Step 4: Simplify right side
   111.25x = 57,001.56
5. Step 5: Solve for x
   x = 57,001.56/111.25
6. Step 6: Final answer
   x = 512.37