Finding the Third Proportional to 66.59 and 144.53

Step by Step Solution

1. Step 1: Write the proportion equation
   66.59 : 144.53 = 144.53 : x
2. Step 2: Convert to fraction form
   66.59/144.53 = 144.53/x
3. Step 3: Cross multiply
   66.59x = 144.53 × 144.53
4. Step 4: Simplify right side
   66.59x = 20,889.28
5. Step 5: Solve for x
   x = 20,889.28/66.59
6. Step 6: Final answer
   x = 313.68