Finding the Third Proportional to 269.38 and 384.69

Step by Step Solution

1. Step 1: Write the proportion equation
   269.38 : 384.69 = 384.69 : x
2. Step 2: Convert to fraction form
   269.38/384.69 = 384.69/x
3. Step 3: Cross multiply
   269.38x = 384.69 × 384.69
4. Step 4: Simplify right side
   269.38x = 147,984.47
5. Step 5: Solve for x
   x = 147,984.47/269.38
6. Step 6: Final answer
   x = 549.36