Finding the Third Proportional to 109.27 and 146.18

Step by Step Solution

1. Step 1: Write the proportion equation
   109.27 : 146.18 = 146.18 : x
2. Step 2: Convert to fraction form
   109.27/146.18 = 146.18/x
3. Step 3: Cross multiply
   109.27x = 146.18 × 146.18
4. Step 4: Simplify right side
   109.27x = 21,368.50
5. Step 5: Solve for x
   x = 21,368.50/109.27
6. Step 6: Final answer
   x = 195.56