Finding the Third Proportional to 105,848 and 150,456

Step by Step Solution

1. Step 1: Write the proportion equation
   105,848 : 150,456 = 150,456 : x
2. Step 2: Convert to fraction form
   105,848/150,456 = 150,456/x
3. Step 3: Cross multiply
   105,848x = 150,456 × 150,456
4. Step 4: Simplify right side
   105,848x = 22,637,007,936
5. Step 5: Solve for x
   x = 22,637,007,936/105,848
6. Step 6: Final answer
   x = 213,863.35