Finding the Third Proportional to 126,770 and 196,028

Step by Step Solution

1. Step 1: Write the proportion equation
   126,770 : 196,028 = 196,028 : x
2. Step 2: Convert to fraction form
   126,770/196,028 = 196,028/x
3. Step 3: Cross multiply
   126,770x = 196,028 × 196,028
4. Step 4: Simplify right side
   126,770x = 38,426,976,784
5. Step 5: Solve for x
   x = 38,426,976,784/126,770
6. Step 6: Final answer
   x = 303,123.58