Finding the Third Proportional to 301.75 and 661.38

Step by Step Solution

1. Step 1: Write the proportion equation
   301.75 : 661.38 = 661.38 : x
2. Step 2: Convert to fraction form
   301.75/661.38 = 661.38/x
3. Step 3: Cross multiply
   301.75x = 661.38 × 661.38
4. Step 4: Simplify right side
   301.75x = 437,416.89
5. Step 5: Solve for x
   x = 437,416.89/301.75
6. Step 6: Final answer
   x = 1,449.60