Finding the Third Proportional to 1,102,799 and 1,686,642

Step by Step Solution

1. Step 1: Write the proportion equation
   1,102,799 : 1,686,642 = 1,686,642 : x
2. Step 2: Convert to fraction form
   1,102,799/1,686,642 = 1,686,642/x
3. Step 3: Cross multiply
   1,102,799x = 1,686,642 × 1,686,642
4. Step 4: Simplify right side
   1,102,799x = 2,844,761,236,164
5. Step 5: Solve for x
   x = 2,844,761,236,164/1,102,799
6. Step 6: Final answer
   x = 2,579,582.71