Finding the Third Proportional to 458.47 and 993.83

Step by Step Solution

1. Step 1: Write the proportion equation
   458.47 : 993.83 = 993.83 : x
2. Step 2: Convert to fraction form
   458.47/993.83 = 993.83/x
3. Step 3: Cross multiply
   458.47x = 993.83 × 993.83
4. Step 4: Simplify right side
   458.47x = 987,702.11
5. Step 5: Solve for x
   x = 987,702.11/458.47
6. Step 6: Final answer
   x = 2,154.33