Finding the Third Proportional to 1,038,565 and 2,159,689

Step by Step Solution

1. Step 1: Write the proportion equation
   1,038,565 : 2,159,689 = 2,159,689 : x
2. Step 2: Convert to fraction form
   1,038,565/2,159,689 = 2,159,689/x
3. Step 3: Cross multiply
   1,038,565x = 2,159,689 × 2,159,689
4. Step 4: Simplify right side
   1,038,565x = 4,664,256,576,721
5. Step 5: Solve for x
   x = 4,664,256,576,721/1,038,565
6. Step 6: Final answer
   x = 4,491,058.89