Finding the Third Proportional to 105,660 and 156,744

Step by Step Solution

1. Step 1: Write the proportion equation
   105,660 : 156,744 = 156,744 : x
2. Step 2: Convert to fraction form
   105,660/156,744 = 156,744/x
3. Step 3: Cross multiply
   105,660x = 156,744 × 156,744
4. Step 4: Simplify right side
   105,660x = 24,568,681,536
5. Step 5: Solve for x
   x = 24,568,681,536/105,660
6. Step 6: Final answer
   x = 232,525.85