Finding the Third Proportional to 59,204 and 126,852

Step by Step Solution

1. Step 1: Write the proportion equation
   59,204 : 126,852 = 126,852 : x
2. Step 2: Convert to fraction form
   59,204/126,852 = 126,852/x
3. Step 3: Cross multiply
   59,204x = 126,852 × 126,852
4. Step 4: Simplify right side
   59,204x = 16,091,429,904
5. Step 5: Solve for x
   x = 16,091,429,904/59,204
6. Step 6: Final answer
   x = 271,796.33