Finding the Third Proportional to 126,795 and 196,229

Step by Step Solution

1. Step 1: Write the proportion equation
   126,795 : 196,229 = 196,229 : x
2. Step 2: Convert to fraction form
   126,795/196,229 = 196,229/x
3. Step 3: Cross multiply
   126,795x = 196,229 × 196,229
4. Step 4: Simplify right side
   126,795x = 38,505,820,441
5. Step 5: Solve for x
   x = 38,505,820,441/126,795
6. Step 6: Final answer
   x = 303,685.64