Finding the Third Proportional to 46,162 and 100,638

Step by Step Solution

1. Step 1: Write the proportion equation
   46,162 : 100,638 = 100,638 : x
2. Step 2: Convert to fraction form
   46,162/100,638 = 100,638/x
3. Step 3: Cross multiply
   46,162x = 100,638 × 100,638
4. Step 4: Simplify right side
   46,162x = 10,128,007,044
5. Step 5: Solve for x
   x = 10,128,007,044/46,162
6. Step 6: Final answer
   x = 219,401.39