Finding the Third Proportional to 200.29 and 269.46

Step by Step Solution

1. Step 1: Write the proportion equation
   200.29 : 269.46 = 269.46 : x
2. Step 2: Convert to fraction form
   200.29/269.46 = 269.46/x
3. Step 3: Cross multiply
   200.29x = 269.46 × 269.46
4. Step 4: Simplify right side
   200.29x = 72,608.41
5. Step 5: Solve for x
   x = 72,608.41/200.29
6. Step 6: Final answer
   x = 362.53