Finding the Third Proportional to 59,256 and 128,880

Step by Step Solution

1. Step 1: Write the proportion equation
   59,256 : 128,880 = 128,880 : x
2. Step 2: Convert to fraction form
   59,256/128,880 = 128,880/x
3. Step 3: Cross multiply
   59,256x = 128,880 × 128,880
4. Step 4: Simplify right side
   59,256x = 16,610,054,400
5. Step 5: Solve for x
   x = 16,610,054,400/59,256
6. Step 6: Final answer
   x = 280,310.09