Finding the Third Proportional to 105,842 and 150,447

Step by Step Solution

1. Step 1: Write the proportion equation
   105,842 : 150,447 = 150,447 : x
2. Step 2: Convert to fraction form
   105,842/150,447 = 150,447/x
3. Step 3: Cross multiply
   105,842x = 150,447 × 150,447
4. Step 4: Simplify right side
   105,842x = 22,634,299,809
5. Step 5: Solve for x
   x = 22,634,299,809/105,842
6. Step 6: Final answer
   x = 213,849.89