Finding the Third Proportional to 827,009 and 1,780,731

Step by Step Solution

1. Step 1: Write the proportion equation
   827,009 : 1,780,731 = 1,780,731 : x
2. Step 2: Convert to fraction form
   827,009/1,780,731 = 1,780,731/x
3. Step 3: Cross multiply
   827,009x = 1,780,731 × 1,780,731
4. Step 4: Simplify right side
   827,009x = 3,171,002,894,361
5. Step 5: Solve for x
   x = 3,171,002,894,361/827,009
6. Step 6: Final answer
   x = 3,834,302.76