Finding the Third Proportional to 1,585,772 and 2,415,837

Step by Step Solution

1. Step 1: Write the proportion equation
   1,585,772 : 2,415,837 = 2,415,837 : x
2. Step 2: Convert to fraction form
   1,585,772/2,415,837 = 2,415,837/x
3. Step 3: Cross multiply
   1,585,772x = 2,415,837 × 2,415,837
4. Step 4: Simplify right side
   1,585,772x = 5,836,268,410,569
5. Step 5: Solve for x
   x = 5,836,268,410,569/1,585,772
6. Step 6: Final answer
   x = 3,680,395.68