Finding the Third Proportional to 2,164,794 and 4,676,472

Step by Step Solution

1. Step 1: Write the proportion equation
   2,164,794 : 4,676,472 = 4,676,472 : x
2. Step 2: Convert to fraction form
   2,164,794/4,676,472 = 4,676,472/x
3. Step 3: Cross multiply
   2,164,794x = 4,676,472 × 4,676,472
4. Step 4: Simplify right side
   2,164,794x = 21,869,390,366,784
5. Step 5: Solve for x
   x = 21,869,390,366,784/2,164,794
6. Step 6: Final answer
   x = 10,102,296.28