Finding the Third Proportional to 2,159,896 and 4,640,320

Step by Step Solution

1. Step 1: Write the proportion equation
   2,159,896 : 4,640,320 = 4,640,320 : x
2. Step 2: Convert to fraction form
   2,159,896/4,640,320 = 4,640,320/x
3. Step 3: Cross multiply
   2,159,896x = 4,640,320 × 4,640,320
4. Step 4: Simplify right side
   2,159,896x = 21,532,569,702,400
5. Step 5: Solve for x
   x = 21,532,569,702,400/2,159,896
6. Step 6: Final answer
   x = 9,969,262.27