Finding the Third Proportional to 59,198 and 126,820

Step by Step Solution

1. Step 1: Write the proportion equation
   59,198 : 126,820 = 126,820 : x
2. Step 2: Convert to fraction form
   59,198/126,820 = 126,820/x
3. Step 3: Cross multiply
   59,198x = 126,820 × 126,820
4. Step 4: Simplify right side
   59,198x = 16,083,312,400
5. Step 5: Solve for x
   x = 16,083,312,400/59,198
6. Step 6: Final answer
   x = 271,686.75