Finding the Third Proportional to 105,843 and 150,448.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,843 : 150,448.50 = 150,448.50 : x
2. Step 2: Convert to fraction form
   105,843/150,448.50 = 150,448.50/x
3. Step 3: Cross multiply
   105,843x = 150,448.50 × 150,448.50
4. Step 4: Simplify right side
   105,843x = 22,634,751,152.25
5. Step 5: Solve for x
   x = 22,634,751,152.25/105,843
6. Step 6: Final answer
   x = 213,852.13