Finding the Third Proportional to 827,878 and 1,810,736

Step by Step Solution

1. Step 1: Write the proportion equation
   827,878 : 1,810,736 = 1,810,736 : x
2. Step 2: Convert to fraction form
   827,878/1,810,736 = 1,810,736/x
3. Step 3: Cross multiply
   827,878x = 1,810,736 × 1,810,736
4. Step 4: Simplify right side
   827,878x = 3,278,764,861,696
5. Step 5: Solve for x
   x = 3,278,764,861,696/827,878
6. Step 6: Final answer
   x = 3,960,444.49