Finding the Third Proportional to 213,892 and 464,734

Step by Step Solution

1. Step 1: Write the proportion equation
   213,892 : 464,734 = 464,734 : x
2. Step 2: Convert to fraction form
   213,892/464,734 = 464,734/x
3. Step 3: Cross multiply
   213,892x = 464,734 × 464,734
4. Step 4: Simplify right side
   213,892x = 215,977,690,756
5. Step 5: Solve for x
   x = 215,977,690,756/213,892
6. Step 6: Final answer
   x = 1,009,751.14