Finding the Third Proportional to 126,648 and 188,020

Step by Step Solution

1. Step 1: Write the proportion equation
   126,648 : 188,020 = 188,020 : x
2. Step 2: Convert to fraction form
   126,648/188,020 = 188,020/x
3. Step 3: Cross multiply
   126,648x = 188,020 × 188,020
4. Step 4: Simplify right side
   126,648x = 35,351,520,400
5. Step 5: Solve for x
   x = 35,351,520,400/126,648
6. Step 6: Final answer
   x = 279,132.09