Finding the Third Proportional to 315.02 and 684.69

Step by Step Solution

1. Step 1: Write the proportion equation
   315.02 : 684.69 = 684.69 : x
2. Step 2: Convert to fraction form
   315.02/684.69 = 684.69/x
3. Step 3: Cross multiply
   315.02x = 684.69 × 684.69
4. Step 4: Simplify right side
   315.02x = 468,794.30
5. Step 5: Solve for x
   x = 468,794.30/315.02
6. Step 6: Final answer
   x = 1,488.15