Finding the Third Proportional to 126,824 and 196,648

Step by Step Solution

1. Step 1: Write the proportion equation
   126,824 : 196,648 = 196,648 : x
2. Step 2: Convert to fraction form
   126,824/196,648 = 196,648/x
3. Step 3: Cross multiply
   126,824x = 196,648 × 196,648
4. Step 4: Simplify right side
   126,824x = 38,670,435,904
5. Step 5: Solve for x
   x = 38,670,435,904/126,824
6. Step 6: Final answer
   x = 304,914.18