Finding the Third Proportional to 146.50 and 319.25

Step by Step Solution

1. Step 1: Write the proportion equation
   146.50 : 319.25 = 319.25 : x
2. Step 2: Convert to fraction form
   146.50/319.25 = 319.25/x
3. Step 3: Cross multiply
   146.50x = 319.25 × 319.25
4. Step 4: Simplify right side
   146.50x = 101,920.56
5. Step 5: Solve for x
   x = 101,920.56/146.50
6. Step 6: Final answer
   x = 695.70