Finding the Third Proportional to 146.81 and 308.81

Step by Step Solution

1. Step 1: Write the proportion equation
   146.81 : 308.81 = 308.81 : x
2. Step 2: Convert to fraction form
   146.81/308.81 = 308.81/x
3. Step 3: Cross multiply
   146.81x = 308.81 × 308.81
4. Step 4: Simplify right side
   146.81x = 95,365.16
5. Step 5: Solve for x
   x = 95,365.16/146.81
6. Step 6: Final answer
   x = 649.57