Finding the Third Proportional to 479.67 and 678.59

Step by Step Solution

1. Step 1: Write the proportion equation
   479.67 : 678.59 = 678.59 : x
2. Step 2: Convert to fraction form
   479.67/678.59 = 678.59/x
3. Step 3: Cross multiply
   479.67x = 678.59 × 678.59
4. Step 4: Simplify right side
   479.67x = 460,478.87
5. Step 5: Solve for x
   x = 460,478.87/479.67
6. Step 6: Final answer
   x = 959.99