Finding the Third Proportional to 105,858 and 150,469

Step by Step Solution

1. Step 1: Write the proportion equation
   105,858 : 150,469 = 150,469 : x
2. Step 2: Convert to fraction form
   105,858/150,469 = 150,469/x
3. Step 3: Cross multiply
   105,858x = 150,469 × 150,469
4. Step 4: Simplify right side
   105,858x = 22,640,919,961
5. Step 5: Solve for x
   x = 22,640,919,961/105,858
6. Step 6: Final answer
   x = 213,880.10