Finding the Third Proportional to 144.56 and 308.63

Step by Step Solution

1. Step 1: Write the proportion equation
   144.56 : 308.63 = 308.63 : x
2. Step 2: Convert to fraction form
   144.56/308.63 = 308.63/x
3. Step 3: Cross multiply
   144.56x = 308.63 × 308.63
4. Step 4: Simplify right side
   144.56x = 95,249.39
5. Step 5: Solve for x
   x = 95,249.39/144.56
6. Step 6: Final answer
   x = 658.88