Finding the Third Proportional to 301.50 and 453.38

Step by Step Solution

1. Step 1: Write the proportion equation
   301.50 : 453.38 = 453.38 : x
2. Step 2: Convert to fraction form
   301.50/453.38 = 453.38/x
3. Step 3: Cross multiply
   301.50x = 453.38 × 453.38
4. Step 4: Simplify right side
   301.50x = 205,548.89
5. Step 5: Solve for x
   x = 205,548.89/301.50
6. Step 6: Final answer
   x = 681.75