Finding the Third Proportional to 144.75 and 300.75

Step by Step Solution

1. Step 1: Write the proportion equation
   144.75 : 300.75 = 300.75 : x
2. Step 2: Convert to fraction form
   144.75/300.75 = 300.75/x
3. Step 3: Cross multiply
   144.75x = 300.75 × 300.75
4. Step 4: Simplify right side
   144.75x = 90,450.56
5. Step 5: Solve for x
   x = 90,450.56/144.75
6. Step 6: Final answer
   x = 624.87