Finding the Third Proportional to 1,585,817 and 2,415,902

Step by Step Solution

1. Step 1: Write the proportion equation
   1,585,817 : 2,415,902 = 2,415,902 : x
2. Step 2: Convert to fraction form
   1,585,817/2,415,902 = 2,415,902/x
3. Step 3: Cross multiply
   1,585,817x = 2,415,902 × 2,415,902
4. Step 4: Simplify right side
   1,585,817x = 5,836,582,473,604
5. Step 5: Solve for x
   x = 5,836,582,473,604/1,585,817
6. Step 6: Final answer
   x = 3,680,489.28