Finding the Third Proportional to 114.15 and 149.61

Step by Step Solution

1. Step 1: Write the proportion equation
   114.15 : 149.61 = 149.61 : x
2. Step 2: Convert to fraction form
   114.15/149.61 = 149.61/x
3. Step 3: Cross multiply
   114.15x = 149.61 × 149.61
4. Step 4: Simplify right side
   114.15x = 22,382.38
5. Step 5: Solve for x
   x = 22,382.38/114.15
6. Step 6: Final answer
   x = 196.07