Finding the Third Proportional to 105,861 and 150,474

Step by Step Solution

1. Step 1: Write the proportion equation
   105,861 : 150,474 = 150,474 : x
2. Step 2: Convert to fraction form
   105,861/150,474 = 150,474/x
3. Step 3: Cross multiply
   105,861x = 150,474 × 150,474
4. Step 4: Simplify right side
   105,861x = 22,642,424,676
5. Step 5: Solve for x
   x = 22,642,424,676/105,861
6. Step 6: Final answer
   x = 213,888.26