Finding the Third Proportional to 827,722 and 1,282,162

Step by Step Solution

1. Step 1: Write the proportion equation
   827,722 : 1,282,162 = 1,282,162 : x
2. Step 2: Convert to fraction form
   827,722/1,282,162 = 1,282,162/x
3. Step 3: Cross multiply
   827,722x = 1,282,162 × 1,282,162
4. Step 4: Simplify right side
   827,722x = 1,643,939,394,244
5. Step 5: Solve for x
   x = 1,643,939,394,244/827,722
6. Step 6: Final answer
   x = 1,986,100.88