Finding the Third Proportional to 145.69 and 308.53

Step by Step Solution

1. Step 1: Write the proportion equation
   145.69 : 308.53 = 308.53 : x
2. Step 2: Convert to fraction form
   145.69/308.53 = 308.53/x
3. Step 3: Cross multiply
   145.69x = 308.53 × 308.53
4. Step 4: Simplify right side
   145.69x = 95,191.53
5. Step 5: Solve for x
   x = 95,191.53/145.69
6. Step 6: Final answer
   x = 653.40