Finding the Third Proportional to 144.28 and 296.16

Step by Step Solution

1. Step 1: Write the proportion equation
   144.28 : 296.16 = 296.16 : x
2. Step 2: Convert to fraction form
   144.28/296.16 = 296.16/x
3. Step 3: Cross multiply
   144.28x = 296.16 × 296.16
4. Step 4: Simplify right side
   144.28x = 87,708.52
5. Step 5: Solve for x
   x = 87,708.52/144.28
6. Step 6: Final answer
   x = 607.90