Finding the Third Proportional to 313.03 and 726.89

Step by Step Solution

1. Step 1: Write the proportion equation
   313.03 : 726.89 = 726.89 : x
2. Step 2: Convert to fraction form
   313.03/726.89 = 726.89/x
3. Step 3: Cross multiply
   313.03x = 726.89 × 726.89
4. Step 4: Simplify right side
   313.03x = 528,369.98
5. Step 5: Solve for x
   x = 528,369.98/313.03
6. Step 6: Final answer
   x = 1,687.91