Finding the Third Proportional to 59,198.50 and 126,821

Step by Step Solution

1. Step 1: Write the proportion equation
   59,198.50 : 126,821 = 126,821 : x
2. Step 2: Convert to fraction form
   59,198.50/126,821 = 126,821/x
3. Step 3: Cross multiply
   59,198.50x = 126,821 × 126,821
4. Step 4: Simplify right side
   59,198.50x = 16,083,566,041
5. Step 5: Solve for x
   x = 16,083,566,041/59,198.50
6. Step 6: Final answer
   x = 271,688.74