Finding the Third Proportional to 144.50 and 379.75

Step by Step Solution

1. Step 1: Write the proportion equation
   144.50 : 379.75 = 379.75 : x
2. Step 2: Convert to fraction form
   144.50/379.75 = 379.75/x
3. Step 3: Cross multiply
   144.50x = 379.75 × 379.75
4. Step 4: Simplify right side
   144.50x = 144,210.06
5. Step 5: Solve for x
   x = 144,210.06/144.50
6. Step 6: Final answer
   x = 997.99