Finding the Third Proportional to 205.59 and 449.72

Step by Step Solution

1. Step 1: Write the proportion equation
   205.59 : 449.72 = 449.72 : x
2. Step 2: Convert to fraction form
   205.59/449.72 = 449.72/x
3. Step 3: Cross multiply
   205.59x = 449.72 × 449.72
4. Step 4: Simplify right side
   205.59x = 202,246.95
5. Step 5: Solve for x
   x = 202,246.95/205.59
6. Step 6: Final answer
   x = 983.72