Finding the Third Proportional to 505.27 and 811.27

Step by Step Solution

1. Step 1: Write the proportion equation
   505.27 : 811.27 = 811.27 : x
2. Step 2: Convert to fraction form
   505.27/811.27 = 811.27/x
3. Step 3: Cross multiply
   505.27x = 811.27 × 811.27
4. Step 4: Simplify right side
   505.27x = 658,151.91
5. Step 5: Solve for x
   x = 658,151.91/505.27
6. Step 6: Final answer
   x = 1,302.59