Finding the Third Proportional to 59,204 and 126,832

Step by Step Solution

1. Step 1: Write the proportion equation
   59,204 : 126,832 = 126,832 : x
2. Step 2: Convert to fraction form
   59,204/126,832 = 126,832/x
3. Step 3: Cross multiply
   59,204x = 126,832 × 126,832
4. Step 4: Simplify right side
   59,204x = 16,086,356,224
5. Step 5: Solve for x
   x = 16,086,356,224/59,204
6. Step 6: Final answer
   x = 271,710.63