Finding the Third Proportional to 81.44 and 205.38

Step by Step Solution

1. Step 1: Write the proportion equation
   81.44 : 205.38 = 205.38 : x
2. Step 2: Convert to fraction form
   81.44/205.38 = 205.38/x
3. Step 3: Cross multiply
   81.44x = 205.38 × 205.38
4. Step 4: Simplify right side
   81.44x = 42,178.89
5. Step 5: Solve for x
   x = 42,178.89/81.44
6. Step 6: Final answer
   x = 517.93