Finding the Third Proportional to 59,328 and 128,928

Step by Step Solution

1. Step 1: Write the proportion equation
   59,328 : 128,928 = 128,928 : x
2. Step 2: Convert to fraction form
   59,328/128,928 = 128,928/x
3. Step 3: Cross multiply
   59,328x = 128,928 × 128,928
4. Step 4: Simplify right side
   59,328x = 16,622,429,184
5. Step 5: Solve for x
   x = 16,622,429,184/59,328
6. Step 6: Final answer
   x = 280,178.49