Finding the Third Proportional to 827,169 and 1,786,386

Step by Step Solution

1. Step 1: Write the proportion equation
   827,169 : 1,786,386 = 1,786,386 : x
2. Step 2: Convert to fraction form
   827,169/1,786,386 = 1,786,386/x
3. Step 3: Cross multiply
   827,169x = 1,786,386 × 1,786,386
4. Step 4: Simplify right side
   827,169x = 3,191,174,940,996
5. Step 5: Solve for x
   x = 3,191,174,940,996/827,169
6. Step 6: Final answer
   x = 3,857,947.94