Finding the Third Proportional to 100.69 and 269.75

Step by Step Solution

1. Step 1: Write the proportion equation
   100.69 : 269.75 = 269.75 : x
2. Step 2: Convert to fraction form
   100.69/269.75 = 269.75/x
3. Step 3: Cross multiply
   100.69x = 269.75 × 269.75
4. Step 4: Simplify right side
   100.69x = 72,765.06
5. Step 5: Solve for x
   x = 72,765.06/100.69
6. Step 6: Final answer
   x = 722.68