Finding the Third Proportional to 1,082,180 and 1,682,214

Step by Step Solution

1. Step 1: Write the proportion equation
   1,082,180 : 1,682,214 = 1,682,214 : x
2. Step 2: Convert to fraction form
   1,082,180/1,682,214 = 1,682,214/x
3. Step 3: Cross multiply
   1,082,180x = 1,682,214 × 1,682,214
4. Step 4: Simplify right side
   1,082,180x = 2,829,843,941,796
5. Step 5: Solve for x
   x = 2,829,843,941,796/1,082,180
6. Step 6: Final answer
   x = 2,614,947.55