Finding the Third Proportional to 301.50 and 723.38

Step by Step Solution

1. Step 1: Write the proportion equation
   301.50 : 723.38 = 723.38 : x
2. Step 2: Convert to fraction form
   301.50/723.38 = 723.38/x
3. Step 3: Cross multiply
   301.50x = 723.38 × 723.38
4. Step 4: Simplify right side
   301.50x = 523,271.39
5. Step 5: Solve for x
   x = 523,271.39/301.50
6. Step 6: Final answer
   x = 1,735.56