Finding the Third Proportional to 827,012 and 1,780,739

Step by Step Solution

1. Step 1: Write the proportion equation
   827,012 : 1,780,739 = 1,780,739 : x
2. Step 2: Convert to fraction form
   827,012/1,780,739 = 1,780,739/x
3. Step 3: Cross multiply
   827,012x = 1,780,739 × 1,780,739
4. Step 4: Simplify right side
   827,012x = 3,171,031,386,121
5. Step 5: Solve for x
   x = 3,171,031,386,121/827,012
6. Step 6: Final answer
   x = 3,834,323.31