Finding the Third Proportional to 1,585,738 and 2,260,507

Step by Step Solution

1. Step 1: Write the proportion equation
   1,585,738 : 2,260,507 = 2,260,507 : x
2. Step 2: Convert to fraction form
   1,585,738/2,260,507 = 2,260,507/x
3. Step 3: Cross multiply
   1,585,738x = 2,260,507 × 2,260,507
4. Step 4: Simplify right side
   1,585,738x = 5,109,891,897,049
5. Step 5: Solve for x
   x = 5,109,891,897,049/1,585,738
6. Step 6: Final answer
   x = 3,222,406.16