Finding the Third Proportional to 59,102 and 128,049

Step by Step Solution

1. Step 1: Write the proportion equation
   59,102 : 128,049 = 128,049 : x
2. Step 2: Convert to fraction form
   59,102/128,049 = 128,049/x
3. Step 3: Cross multiply
   59,102x = 128,049 × 128,049
4. Step 4: Simplify right side
   59,102x = 16,396,546,401
5. Step 5: Solve for x
   x = 16,396,546,401/59,102
6. Step 6: Final answer
   x = 277,427.94