Finding the Third Proportional to 280,152 and 647,892

Step by Step Solution

1. Step 1: Write the proportion equation
   280,152 : 647,892 = 647,892 : x
2. Step 2: Convert to fraction form
   280,152/647,892 = 647,892/x
3. Step 3: Cross multiply
   280,152x = 647,892 × 647,892
4. Step 4: Simplify right side
   280,152x = 419,764,043,664
5. Step 5: Solve for x
   x = 419,764,043,664/280,152
6. Step 6: Final answer
   x = 1,498,343.91