Finding the Third Proportional to 126,616 and 196,048

Step by Step Solution

1. Step 1: Write the proportion equation
   126,616 : 196,048 = 196,048 : x
2. Step 2: Convert to fraction form
   126,616/196,048 = 196,048/x
3. Step 3: Cross multiply
   126,616x = 196,048 × 196,048
4. Step 4: Simplify right side
   126,616x = 38,434,818,304
5. Step 5: Solve for x
   x = 38,434,818,304/126,616
6. Step 6: Final answer
   x = 303,554.20