Finding the Third Proportional to 144.75 and 334.88

Step by Step Solution

1. Step 1: Write the proportion equation
   144.75 : 334.88 = 334.88 : x
2. Step 2: Convert to fraction form
   144.75/334.88 = 334.88/x
3. Step 3: Cross multiply
   144.75x = 334.88 × 334.88
4. Step 4: Simplify right side
   144.75x = 112,141.27
5. Step 5: Solve for x
   x = 112,141.27/144.75
6. Step 6: Final answer
   x = 774.72