Finding the Third Proportional to 1,081,952 and 1,684,164

Step by Step Solution

1. Step 1: Write the proportion equation
   1,081,952 : 1,684,164 = 1,684,164 : x
2. Step 2: Convert to fraction form
   1,081,952/1,684,164 = 1,684,164/x
3. Step 3: Cross multiply
   1,081,952x = 1,684,164 × 1,684,164
4. Step 4: Simplify right side
   1,081,952x = 2,836,408,378,896
5. Step 5: Solve for x
   x = 2,836,408,378,896/1,081,952
6. Step 6: Final answer
   x = 2,621,565.82