Finding the Third Proportional to 145.69 and 308.81

Step by Step Solution

1. Step 1: Write the proportion equation
   145.69 : 308.81 = 308.81 : x
2. Step 2: Convert to fraction form
   145.69/308.81 = 308.81/x
3. Step 3: Cross multiply
   145.69x = 308.81 × 308.81
4. Step 4: Simplify right side
   145.69x = 95,365.16
5. Step 5: Solve for x
   x = 95,365.16/145.69
6. Step 6: Final answer
   x = 654.59