Finding the Third Proportional to 456.47 and 993.94

Step by Step Solution

1. Step 1: Write the proportion equation
   456.47 : 993.94 = 993.94 : x
2. Step 2: Convert to fraction form
   456.47/993.94 = 993.94/x
3. Step 3: Cross multiply
   456.47x = 993.94 × 993.94
4. Step 4: Simplify right side
   456.47x = 987,911.75
5. Step 5: Solve for x
   x = 987,911.75/456.47
6. Step 6: Final answer
   x = 2,164.25