Finding the Third Proportional to 111.75 and 245.38

Step by Step Solution

1. Step 1: Write the proportion equation
   111.75 : 245.38 = 245.38 : x
2. Step 2: Convert to fraction form
   111.75/245.38 = 245.38/x
3. Step 3: Cross multiply
   111.75x = 245.38 × 245.38
4. Step 4: Simplify right side
   111.75x = 60,208.89
5. Step 5: Solve for x
   x = 60,208.89/111.75
6. Step 6: Final answer
   x = 538.78