Finding the Third Proportional to 1,585,770 and 2,415,834

Step by Step Solution

1. Step 1: Write the proportion equation
   1,585,770 : 2,415,834 = 2,415,834 : x
2. Step 2: Convert to fraction form
   1,585,770/2,415,834 = 2,415,834/x
3. Step 3: Cross multiply
   1,585,770x = 2,415,834 × 2,415,834
4. Step 4: Simplify right side
   1,585,770x = 5,836,253,915,556
5. Step 5: Solve for x
   x = 5,836,253,915,556/1,585,770
6. Step 6: Final answer
   x = 3,680,391.18