Finding the Third Proportional to 59,469.75 and 128,738.25

Step by Step Solution

1. Step 1: Write the proportion equation
   59,469.75 : 128,738.25 = 128,738.25 : x
2. Step 2: Convert to fraction form
   59,469.75/128,738.25 = 128,738.25/x
3. Step 3: Cross multiply
   59,469.75x = 128,738.25 × 128,738.25
4. Step 4: Simplify right side
   59,469.75x = 16,573,537,013.06
5. Step 5: Solve for x
   x = 16,573,537,013.06/59,469.75
6. Step 6: Final answer
   x = 278,688.53