Finding the Third Proportional to 126,608 and 196,824

Step by Step Solution

1. Step 1: Write the proportion equation
   126,608 : 196,824 = 196,824 : x
2. Step 2: Convert to fraction form
   126,608/196,824 = 196,824/x
3. Step 3: Cross multiply
   126,608x = 196,824 × 196,824
4. Step 4: Simplify right side
   126,608x = 38,739,686,976
5. Step 5: Solve for x
   x = 38,739,686,976/126,608
6. Step 6: Final answer
   x = 305,981.35