Finding the Third Proportional to 59,098 and 128,042

Step by Step Solution

1. Step 1: Write the proportion equation
   59,098 : 128,042 = 128,042 : x
2. Step 2: Convert to fraction form
   59,098/128,042 = 128,042/x
3. Step 3: Cross multiply
   59,098x = 128,042 × 128,042
4. Step 4: Simplify right side
   59,098x = 16,394,753,764
5. Step 5: Solve for x
   x = 16,394,753,764/59,098
6. Step 6: Final answer
   x = 277,416.39