Finding the Third Proportional to 111.75 and 149.25

Step by Step Solution

1. Step 1: Write the proportion equation
   111.75 : 149.25 = 149.25 : x
2. Step 2: Convert to fraction form
   111.75/149.25 = 149.25/x
3. Step 3: Cross multiply
   111.75x = 149.25 × 149.25
4. Step 4: Simplify right side
   111.75x = 22,275.56
5. Step 5: Solve for x
   x = 22,275.56/111.75
6. Step 6: Final answer
   x = 199.33