Finding the Third Proportional to 301.50 and 681.56

Step by Step Solution

1. Step 1: Write the proportion equation
   301.50 : 681.56 = 681.56 : x
2. Step 2: Convert to fraction form
   301.50/681.56 = 681.56/x
3. Step 3: Cross multiply
   301.50x = 681.56 × 681.56
4. Step 4: Simplify right side
   301.50x = 464,527.44
5. Step 5: Solve for x
   x = 464,527.44/301.50
6. Step 6: Final answer
   x = 1,540.72