Finding the Third Proportional to 313.31 and 684.56

Step by Step Solution

1. Step 1: Write the proportion equation
   313.31 : 684.56 = 684.56 : x
2. Step 2: Convert to fraction form
   313.31/684.56 = 684.56/x
3. Step 3: Cross multiply
   313.31x = 684.56 × 684.56
4. Step 4: Simplify right side
   313.31x = 468,625.82
5. Step 5: Solve for x
   x = 468,625.82/313.31
6. Step 6: Final answer
   x = 1,495.71