Finding the Third Proportional to 205.69 and 313.31

Step by Step Solution

1. Step 1: Write the proportion equation
   205.69 : 313.31 = 313.31 : x
2. Step 2: Convert to fraction form
   205.69/313.31 = 313.31/x
3. Step 3: Cross multiply
   205.69x = 313.31 × 313.31
4. Step 4: Simplify right side
   205.69x = 98,164.72
5. Step 5: Solve for x
   x = 98,164.72/205.69
6. Step 6: Final answer
   x = 477.25