Finding the Third Proportional to 2,098,874 and 4,638,784

Step by Step Solution

1. Step 1: Write the proportion equation
   2,098,874 : 4,638,784 = 4,638,784 : x
2. Step 2: Convert to fraction form
   2,098,874/4,638,784 = 4,638,784/x
3. Step 3: Cross multiply
   2,098,874x = 4,638,784 × 4,638,784
4. Step 4: Simplify right side
   2,098,874x = 21,518,316,998,656
5. Step 5: Solve for x
   x = 21,518,316,998,656/2,098,874
6. Step 6: Final answer
   x = 10,252,314.81