Finding the Third Proportional to 59,096 and 128,038

Step by Step Solution

1. Step 1: Write the proportion equation
   59,096 : 128,038 = 128,038 : x
2. Step 2: Convert to fraction form
   59,096/128,038 = 128,038/x
3. Step 3: Cross multiply
   59,096x = 128,038 × 128,038
4. Step 4: Simplify right side
   59,096x = 16,393,729,444
5. Step 5: Solve for x
   x = 16,393,729,444/59,096
6. Step 6: Final answer
   x = 277,408.44