Finding the Third Proportional to 111.75 and 148.13

Step by Step Solution

1. Step 1: Write the proportion equation
   111.75 : 148.13 = 148.13 : x
2. Step 2: Convert to fraction form
   111.75/148.13 = 148.13/x
3. Step 3: Cross multiply
   111.75x = 148.13 × 148.13
4. Step 4: Simplify right side
   111.75x = 21,941.02
5. Step 5: Solve for x
   x = 21,941.02/111.75
6. Step 6: Final answer
   x = 196.34