Finding the Third Proportional to 1,585,821 and 2,415,909

Step by Step Solution

1. Step 1: Write the proportion equation
   1,585,821 : 2,415,909 = 2,415,909 : x
2. Step 2: Convert to fraction form
   1,585,821/2,415,909 = 2,415,909/x
3. Step 3: Cross multiply
   1,585,821x = 2,415,909 × 2,415,909
4. Step 4: Simplify right side
   1,585,821x = 5,836,616,296,281
5. Step 5: Solve for x
   x = 5,836,616,296,281/1,585,821
6. Step 6: Final answer
   x = 3,680,501.33