Finding the Third Proportional to 111.80 and 148.22

Step by Step Solution

1. Step 1: Write the proportion equation
   111.80 : 148.22 = 148.22 : x
2. Step 2: Convert to fraction form
   111.80/148.22 = 148.22/x
3. Step 3: Cross multiply
   111.80x = 148.22 × 148.22
4. Step 4: Simplify right side
   111.80x = 21,968.80
5. Step 5: Solve for x
   x = 21,968.80/111.80
6. Step 6: Final answer
   x = 196.51