Finding the Third Proportional to 2,164,792 and 4,676,468

Step by Step Solution

1. Step 1: Write the proportion equation
   2,164,792 : 4,676,468 = 4,676,468 : x
2. Step 2: Convert to fraction form
   2,164,792/4,676,468 = 4,676,468/x
3. Step 3: Cross multiply
   2,164,792x = 4,676,468 × 4,676,468
4. Step 4: Simplify right side
   2,164,792x = 21,869,352,955,024
5. Step 5: Solve for x
   x = 21,869,352,955,024/2,164,792
6. Step 6: Final answer
   x = 10,102,288.33