Finding the Third Proportional to 205.94 and 320.72

Step by Step Solution

1. Step 1: Write the proportion equation
   205.94 : 320.72 = 320.72 : x
2. Step 2: Convert to fraction form
   205.94/320.72 = 320.72/x
3. Step 3: Cross multiply
   205.94x = 320.72 × 320.72
4. Step 4: Simplify right side
   205.94x = 102,860.52
5. Step 5: Solve for x
   x = 102,860.52/205.94
6. Step 6: Final answer
   x = 499.47