Finding the Third Proportional to 314.94 and 680.56

Step by Step Solution

1. Step 1: Write the proportion equation
   314.94 : 680.56 = 680.56 : x
2. Step 2: Convert to fraction form
   314.94/680.56 = 680.56/x
3. Step 3: Cross multiply
   314.94x = 680.56 × 680.56
4. Step 4: Simplify right side
   314.94x = 463,165.32
5. Step 5: Solve for x
   x = 463,165.32/314.94
6. Step 6: Final answer
   x = 1,470.66