Finding the Third Proportional to 144.50 and 186.38

Step by Step Solution

1. Step 1: Write the proportion equation
   144.50 : 186.38 = 186.38 : x
2. Step 2: Convert to fraction form
   144.50/186.38 = 186.38/x
3. Step 3: Cross multiply
   144.50x = 186.38 × 186.38
4. Step 4: Simplify right side
   144.50x = 34,735.64
5. Step 5: Solve for x
   x = 34,735.64/144.50
6. Step 6: Final answer
   x = 240.39