Finding the Third Proportional to 105,890 and 150,530

Step by Step Solution

1. Step 1: Write the proportion equation
   105,890 : 150,530 = 150,530 : x
2. Step 2: Convert to fraction form
   105,890/150,530 = 150,530/x
3. Step 3: Cross multiply
   105,890x = 150,530 × 150,530
4. Step 4: Simplify right side
   105,890x = 22,659,280,900
5. Step 5: Solve for x
   x = 22,659,280,900/105,890
6. Step 6: Final answer
   x = 213,988.86