Finding the Third Proportional to 301.69 and 660.38

Step by Step Solution

1. Step 1: Write the proportion equation
   301.69 : 660.38 = 660.38 : x
2. Step 2: Convert to fraction form
   301.69/660.38 = 660.38/x
3. Step 3: Cross multiply
   301.69x = 660.38 × 660.38
4. Step 4: Simplify right side
   301.69x = 436,095.14
5. Step 5: Solve for x
   x = 436,095.14/301.69
6. Step 6: Final answer
   x = 1,445.52