Finding the Third Proportional to 144.75 and 186.56

Step by Step Solution

1. Step 1: Write the proportion equation
   144.75 : 186.56 = 186.56 : x
2. Step 2: Convert to fraction form
   144.75/186.56 = 186.56/x
3. Step 3: Cross multiply
   144.75x = 186.56 × 186.56
4. Step 4: Simplify right side
   144.75x = 34,805.57
5. Step 5: Solve for x
   x = 34,805.57/144.75
6. Step 6: Final answer
   x = 240.45