Finding the Third Proportional to 334.69 and 727.31

Step by Step Solution

1. Step 1: Write the proportion equation
   334.69 : 727.31 = 727.31 : x
2. Step 2: Convert to fraction form
   334.69/727.31 = 727.31/x
3. Step 3: Cross multiply
   334.69x = 727.31 × 727.31
4. Step 4: Simplify right side
   334.69x = 528,983.47
5. Step 5: Solve for x
   x = 528,983.47/334.69
6. Step 6: Final answer
   x = 1,580.53