Finding the Third Proportional to 59,084 and 128,536

Step by Step Solution

1. Step 1: Write the proportion equation
   59,084 : 128,536 = 128,536 : x
2. Step 2: Convert to fraction form
   59,084/128,536 = 128,536/x
3. Step 3: Cross multiply
   59,084x = 128,536 × 128,536
4. Step 4: Simplify right side
   59,084x = 16,521,503,296
5. Step 5: Solve for x
   x = 16,521,503,296/59,084
6. Step 6: Final answer
   x = 279,627.37