Finding the Third Proportional to 59,184 and 128,814

Step by Step Solution

1. Step 1: Write the proportion equation
   59,184 : 128,814 = 128,814 : x
2. Step 2: Convert to fraction form
   59,184/128,814 = 128,814/x
3. Step 3: Cross multiply
   59,184x = 128,814 × 128,814
4. Step 4: Simplify right side
   59,184x = 16,593,046,596
5. Step 5: Solve for x
   x = 16,593,046,596/59,184
6. Step 6: Final answer
   x = 280,363.72