Finding the Third Proportional to 59,508 and 126,648

Step by Step Solution

1. Step 1: Write the proportion equation
   59,508 : 126,648 = 126,648 : x
2. Step 2: Convert to fraction form
   59,508/126,648 = 126,648/x
3. Step 3: Cross multiply
   59,508x = 126,648 × 126,648
4. Step 4: Simplify right side
   59,508x = 16,039,715,904
5. Step 5: Solve for x
   x = 16,039,715,904/59,508
6. Step 6: Final answer
   x = 269,538.82