Finding the Third Proportional to 288.56 and 694.69

Step by Step Solution

1. Step 1: Write the proportion equation
   288.56 : 694.69 = 694.69 : x
2. Step 2: Convert to fraction form
   288.56/694.69 = 694.69/x
3. Step 3: Cross multiply
   288.56x = 694.69 × 694.69
4. Step 4: Simplify right side
   288.56x = 482,590.72
5. Step 5: Solve for x
   x = 482,590.72/288.56
6. Step 6: Final answer
   x = 1,672.40