Finding the Third Proportional to 301.31 and 424.31

Step by Step Solution

1. Step 1: Write the proportion equation
   301.31 : 424.31 = 424.31 : x
2. Step 2: Convert to fraction form
   301.31/424.31 = 424.31/x
3. Step 3: Cross multiply
   301.31x = 424.31 × 424.31
4. Step 4: Simplify right side
   301.31x = 180,041.10
5. Step 5: Solve for x
   x = 180,041.10/301.31
6. Step 6: Final answer
   x = 597.52