Finding the Third Proportional to 2,105,103 and 4,564,223

Step by Step Solution

1. Step 1: Write the proportion equation
   2,105,103 : 4,564,223 = 4,564,223 : x
2. Step 2: Convert to fraction form
   2,105,103/4,564,223 = 4,564,223/x
3. Step 3: Cross multiply
   2,105,103x = 4,564,223 × 4,564,223
4. Step 4: Simplify right side
   2,105,103x = 20,832,131,593,729
5. Step 5: Solve for x
   x = 20,832,131,593,729/2,105,103
6. Step 6: Final answer
   x = 9,896,015.35