Finding the Third Proportional to 126,730 and 196,162

Step by Step Solution

1. Step 1: Write the proportion equation
   126,730 : 196,162 = 196,162 : x
2. Step 2: Convert to fraction form
   126,730/196,162 = 196,162/x
3. Step 3: Cross multiply
   126,730x = 196,162 × 196,162
4. Step 4: Simplify right side
   126,730x = 38,479,530,244
5. Step 5: Solve for x
   x = 38,479,530,244/126,730
6. Step 6: Final answer
   x = 303,633.95