Finding the Third Proportional to 827,019 and 1,780,749

Step by Step Solution

1. Step 1: Write the proportion equation
   827,019 : 1,780,749 = 1,780,749 : x
2. Step 2: Convert to fraction form
   827,019/1,780,749 = 1,780,749/x
3. Step 3: Cross multiply
   827,019x = 1,780,749 × 1,780,749
4. Step 4: Simplify right side
   827,019x = 3,171,067,001,001
5. Step 5: Solve for x
   x = 3,171,067,001,001/827,019
6. Step 6: Final answer
   x = 3,834,333.92