Finding the Third Proportional to 1,606,268 and 2,141,406

Step by Step Solution

1. Step 1: Write the proportion equation
   1,606,268 : 2,141,406 = 2,141,406 : x
2. Step 2: Convert to fraction form
   1,606,268/2,141,406 = 2,141,406/x
3. Step 3: Cross multiply
   1,606,268x = 2,141,406 × 2,141,406
4. Step 4: Simplify right side
   1,606,268x = 4,585,619,656,836
5. Step 5: Solve for x
   x = 4,585,619,656,836/1,606,268
6. Step 6: Final answer
   x = 2,854,828.49