Finding the Third Proportional to 105,857 and 150,468

Step by Step Solution

1. Step 1: Write the proportion equation
   105,857 : 150,468 = 150,468 : x
2. Step 2: Convert to fraction form
   105,857/150,468 = 150,468/x
3. Step 3: Cross multiply
   105,857x = 150,468 × 150,468
4. Step 4: Simplify right side
   105,857x = 22,640,619,024
5. Step 5: Solve for x
   x = 22,640,619,024/105,857
6. Step 6: Final answer
   x = 213,879.28