Finding the Third Proportional to 1,102,202 and 1,686,027

Step by Step Solution

1. Step 1: Write the proportion equation
   1,102,202 : 1,686,027 = 1,686,027 : x
2. Step 2: Convert to fraction form
   1,102,202/1,686,027 = 1,686,027/x
3. Step 3: Cross multiply
   1,102,202x = 1,686,027 × 1,686,027
4. Step 4: Simplify right side
   1,102,202x = 2,842,687,044,729
5. Step 5: Solve for x
   x = 2,842,687,044,729/1,102,202
6. Step 6: Final answer
   x = 2,579,098.06