Finding the Third Proportional to 508.78 and 694.83

Step by Step Solution

1. Step 1: Write the proportion equation
   508.78 : 694.83 = 694.83 : x
2. Step 2: Convert to fraction form
   508.78/694.83 = 694.83/x
3. Step 3: Cross multiply
   508.78x = 694.83 × 694.83
4. Step 4: Simplify right side
   508.78x = 482,786.12
5. Step 5: Solve for x
   x = 482,786.12/508.78
6. Step 6: Final answer
   x = 948.91