Finding the Third Proportional to 208.50 and 456.56

Step by Step Solution

1. Step 1: Write the proportion equation
   208.50 : 456.56 = 456.56 : x
2. Step 2: Convert to fraction form
   208.50/456.56 = 456.56/x
3. Step 3: Cross multiply
   208.50x = 456.56 × 456.56
4. Step 4: Simplify right side
   208.50x = 208,449.32
5. Step 5: Solve for x
   x = 208,449.32/208.50
6. Step 6: Final answer
   x = 999.76