Finding the Third Proportional to 213,288 and 493,766

Step by Step Solution

1. Step 1: Write the proportion equation
   213,288 : 493,766 = 493,766 : x
2. Step 2: Convert to fraction form
   213,288/493,766 = 493,766/x
3. Step 3: Cross multiply
   213,288x = 493,766 × 493,766
4. Step 4: Simplify right side
   213,288x = 243,804,862,756
5. Step 5: Solve for x
   x = 243,804,862,756/213,288
6. Step 6: Final answer
   x = 1,143,078.20