Finding the Third Proportional to 271.69 and 469.55

Step by Step Solution

1. Step 1: Write the proportion equation
   271.69 : 469.55 = 469.55 : x
2. Step 2: Convert to fraction form
   271.69/469.55 = 469.55/x
3. Step 3: Cross multiply
   271.69x = 469.55 × 469.55
4. Step 4: Simplify right side
   271.69x = 220,474.27
5. Step 5: Solve for x
   x = 220,474.27/271.69
6. Step 6: Final answer
   x = 811.50