Finding the Third Proportional to 1,585,890 and 2,382,346

Step by Step Solution

1. Step 1: Write the proportion equation
   1,585,890 : 2,382,346 = 2,382,346 : x
2. Step 2: Convert to fraction form
   1,585,890/2,382,346 = 2,382,346/x
3. Step 3: Cross multiply
   1,585,890x = 2,382,346 × 2,382,346
4. Step 4: Simplify right side
   1,585,890x = 5,675,572,463,716
5. Step 5: Solve for x
   x = 5,675,572,463,716/1,585,890
6. Step 6: Final answer
   x = 3,578,793.27