Finding the Third Proportional to 59,197 and 126,818

Step by Step Solution

1. Step 1: Write the proportion equation
   59,197 : 126,818 = 126,818 : x
2. Step 2: Convert to fraction form
   59,197/126,818 = 126,818/x
3. Step 3: Cross multiply
   59,197x = 126,818 × 126,818
4. Step 4: Simplify right side
   59,197x = 16,082,805,124
5. Step 5: Solve for x
   x = 16,082,805,124/59,197
6. Step 6: Final answer
   x = 271,682.77