Finding the Third Proportional to 144.50 and 334.25

Step by Step Solution

1. Step 1: Write the proportion equation
   144.50 : 334.25 = 334.25 : x
2. Step 2: Convert to fraction form
   144.50/334.25 = 334.25/x
3. Step 3: Cross multiply
   144.50x = 334.25 × 334.25
4. Step 4: Simplify right side
   144.50x = 111,723.06
5. Step 5: Solve for x
   x = 111,723.06/144.50
6. Step 6: Final answer
   x = 773.17