Finding the Third Proportional to 46,022 and 100,828

Step by Step Solution

1. Step 1: Write the proportion equation
   46,022 : 100,828 = 100,828 : x
2. Step 2: Convert to fraction form
   46,022/100,828 = 100,828/x
3. Step 3: Cross multiply
   46,022x = 100,828 × 100,828
4. Step 4: Simplify right side
   46,022x = 10,166,285,584
5. Step 5: Solve for x
   x = 10,166,285,584/46,022
6. Step 6: Final answer
   x = 220,900.56