Finding the Third Proportional to 105,844 and 150,450

Step by Step Solution

1. Step 1: Write the proportion equation
   105,844 : 150,450 = 150,450 : x
2. Step 2: Convert to fraction form
   105,844/150,450 = 150,450/x
3. Step 3: Cross multiply
   105,844x = 150,450 × 150,450
4. Step 4: Simplify right side
   105,844x = 22,635,202,500
5. Step 5: Solve for x
   x = 22,635,202,500/105,844
6. Step 6: Final answer
   x = 213,854.38