Finding the Third Proportional to 301.50 and 611.38

Step by Step Solution

1. Step 1: Write the proportion equation
   301.50 : 611.38 = 611.38 : x
2. Step 2: Convert to fraction form
   301.50/611.38 = 611.38/x
3. Step 3: Cross multiply
   301.50x = 611.38 × 611.38
4. Step 4: Simplify right side
   301.50x = 373,779.39
5. Step 5: Solve for x
   x = 373,779.39/301.50
6. Step 6: Final answer
   x = 1,239.73