Finding the Third Proportional to 126,198 and 188,203.50

Step by Step Solution

1. Step 1: Write the proportion equation
   126,198 : 188,203.50 = 188,203.50 : x
2. Step 2: Convert to fraction form
   126,198/188,203.50 = 188,203.50/x
3. Step 3: Cross multiply
   126,198x = 188,203.50 × 188,203.50
4. Step 4: Simplify right side
   126,198x = 35,420,557,412.25
5. Step 5: Solve for x
   x = 35,420,557,412.25/126,198
6. Step 6: Final answer
   x = 280,674.48