Finding the Third Proportional to 442.27 and 505.27

Step by Step Solution

1. Step 1: Write the proportion equation
   442.27 : 505.27 = 505.27 : x
2. Step 2: Convert to fraction form
   442.27/505.27 = 505.27/x
3. Step 3: Cross multiply
   442.27x = 505.27 × 505.27
4. Step 4: Simplify right side
   442.27x = 255,293.35
5. Step 5: Solve for x
   x = 255,293.35/442.27
6. Step 6: Final answer
   x = 577.24