Finding the Third Proportional to 295,806 and 647,892

Step by Step Solution

1. Step 1: Write the proportion equation
   295,806 : 647,892 = 647,892 : x
2. Step 2: Convert to fraction form
   295,806/647,892 = 647,892/x
3. Step 3: Cross multiply
   295,806x = 647,892 × 647,892
4. Step 4: Simplify right side
   295,806x = 419,764,043,664
5. Step 5: Solve for x
   x = 419,764,043,664/295,806
6. Step 6: Final answer
   x = 1,419,051.82