Finding the Third Proportional to 204.56 and 456.52

Step by Step Solution

1. Step 1: Write the proportion equation
   204.56 : 456.52 = 456.52 : x
2. Step 2: Convert to fraction form
   204.56/456.52 = 456.52/x
3. Step 3: Cross multiply
   204.56x = 456.52 × 456.52
4. Step 4: Simplify right side
   204.56x = 208,406.52
5. Step 5: Solve for x
   x = 208,406.52/204.56
6. Step 6: Final answer
   x = 1,018.79