Finding the Third Proportional to 59,186 and 128,216

Step by Step Solution

1. Step 1: Write the proportion equation
   59,186 : 128,216 = 128,216 : x
2. Step 2: Convert to fraction form
   59,186/128,216 = 128,216/x
3. Step 3: Cross multiply
   59,186x = 128,216 × 128,216
4. Step 4: Simplify right side
   59,186x = 16,439,342,656
5. Step 5: Solve for x
   x = 16,439,342,656/59,186
6. Step 6: Final answer
   x = 277,757.28