Finding the Third Proportional to 126,756 and 196,182

Step by Step Solution

1. Step 1: Write the proportion equation
   126,756 : 196,182 = 196,182 : x
2. Step 2: Convert to fraction form
   126,756/196,182 = 196,182/x
3. Step 3: Cross multiply
   126,756x = 196,182 × 196,182
4. Step 4: Simplify right side
   126,756x = 38,487,377,124
5. Step 5: Solve for x
   x = 38,487,377,124/126,756
6. Step 6: Final answer
   x = 303,633.57