Finding the Third Proportional to 268.69 and 288.94

Step by Step Solution

1. Step 1: Write the proportion equation
   268.69 : 288.94 = 288.94 : x
2. Step 2: Convert to fraction form
   268.69/288.94 = 288.94/x
3. Step 3: Cross multiply
   268.69x = 288.94 × 288.94
4. Step 4: Simplify right side
   268.69x = 83,484.88
5. Step 5: Solve for x
   x = 83,484.88/268.69
6. Step 6: Final answer
   x = 310.71