Finding the Third Proportional to 269.47 and 411.94

Step by Step Solution

1. Step 1: Write the proportion equation
   269.47 : 411.94 = 411.94 : x
2. Step 2: Convert to fraction form
   269.47/411.94 = 411.94/x
3. Step 3: Cross multiply
   269.47x = 411.94 × 411.94
4. Step 4: Simplify right side
   269.47x = 169,692.50
5. Step 5: Solve for x
   x = 169,692.50/269.47
6. Step 6: Final answer
   x = 629.73