Finding the Third Proportional to 827,006 and 1,780,726

Step by Step Solution

1. Step 1: Write the proportion equation
   827,006 : 1,780,726 = 1,780,726 : x
2. Step 2: Convert to fraction form
   827,006/1,780,726 = 1,780,726/x
3. Step 3: Cross multiply
   827,006x = 1,780,726 × 1,780,726
4. Step 4: Simplify right side
   827,006x = 3,170,985,087,076
5. Step 5: Solve for x
   x = 3,170,985,087,076/827,006
6. Step 6: Final answer
   x = 3,834,295.14