Finding the Third Proportional to 59,296 and 128,960

Step by Step Solution

1. Step 1: Write the proportion equation
   59,296 : 128,960 = 128,960 : x
2. Step 2: Convert to fraction form
   59,296/128,960 = 128,960/x
3. Step 3: Cross multiply
   59,296x = 128,960 × 128,960
4. Step 4: Simplify right side
   59,296x = 16,630,681,600
5. Step 5: Solve for x
   x = 16,630,681,600/59,296
6. Step 6: Final answer
   x = 280,468.86