Finding the Third Proportional to 209.67 and 456.47

Step by Step Solution

1. Step 1: Write the proportion equation
   209.67 : 456.47 = 456.47 : x
2. Step 2: Convert to fraction form
   209.67/456.47 = 456.47/x
3. Step 3: Cross multiply
   209.67x = 456.47 × 456.47
4. Step 4: Simplify right side
   209.67x = 208,363.72
5. Step 5: Solve for x
   x = 208,363.72/209.67
6. Step 6: Final answer
   x = 993.76