Finding the Third Proportional to 144.50 and 314.50

Step by Step Solution

1. Step 1: Write the proportion equation
   144.50 : 314.50 = 314.50 : x
2. Step 2: Convert to fraction form
   144.50/314.50 = 314.50/x
3. Step 3: Cross multiply
   144.50x = 314.50 × 314.50
4. Step 4: Simplify right side
   144.50x = 98,910.25
5. Step 5: Solve for x
   x = 98,910.25/144.50
6. Step 6: Final answer
   x = 684.50