Finding the Third Proportional to 146.81 and 313.31

Step by Step Solution

1. Step 1: Write the proportion equation
   146.81 : 313.31 = 313.31 : x
2. Step 2: Convert to fraction form
   146.81/313.31 = 313.31/x
3. Step 3: Cross multiply
   146.81x = 313.31 × 313.31
4. Step 4: Simplify right side
   146.81x = 98,164.72
5. Step 5: Solve for x
   x = 98,164.72/146.81
6. Step 6: Final answer
   x = 668.64