Finding the Third Proportional to 301.69 and 427.31

Step by Step Solution

1. Step 1: Write the proportion equation
   301.69 : 427.31 = 427.31 : x
2. Step 2: Convert to fraction form
   301.69/427.31 = 427.31/x
3. Step 3: Cross multiply
   301.69x = 427.31 × 427.31
4. Step 4: Simplify right side
   301.69x = 182,595.97
5. Step 5: Solve for x
   x = 182,595.97/301.69
6. Step 6: Final answer
   x = 605.25