Finding the Third Proportional to 146.81 and 317.25

Step by Step Solution

1. Step 1: Write the proportion equation
   146.81 : 317.25 = 317.25 : x
2. Step 2: Convert to fraction form
   146.81/317.25 = 317.25/x
3. Step 3: Cross multiply
   146.81x = 317.25 × 317.25
4. Step 4: Simplify right side
   146.81x = 100,647.56
5. Step 5: Solve for x
   x = 100,647.56/146.81
6. Step 6: Final answer
   x = 685.55