Finding the Third Proportional to 1,023,338 and 1,431,411

Step by Step Solution

1. Step 1: Write the proportion equation
   1,023,338 : 1,431,411 = 1,431,411 : x
2. Step 2: Convert to fraction form
   1,023,338/1,431,411 = 1,431,411/x
3. Step 3: Cross multiply
   1,023,338x = 1,431,411 × 1,431,411
4. Step 4: Simplify right side
   1,023,338x = 2,048,937,450,921
5. Step 5: Solve for x
   x = 2,048,937,450,921/1,023,338
6. Step 6: Final answer
   x = 2,002,209.88