Finding the Third Proportional to 493,204 and 1,077,728

Step by Step Solution

1. Step 1: Write the proportion equation
   493,204 : 1,077,728 = 1,077,728 : x
2. Step 2: Convert to fraction form
   493,204/1,077,728 = 1,077,728/x
3. Step 3: Cross multiply
   493,204x = 1,077,728 × 1,077,728
4. Step 4: Simplify right side
   493,204x = 1,161,497,641,984
5. Step 5: Solve for x
   x = 1,161,497,641,984/493,204
6. Step 6: Final answer
   x = 2,355,004.51