Finding the Third Proportional to 59,396 and 128,078

Step by Step Solution

1. Step 1: Write the proportion equation
   59,396 : 128,078 = 128,078 : x
2. Step 2: Convert to fraction form
   59,396/128,078 = 128,078/x
3. Step 3: Cross multiply
   59,396x = 128,078 × 128,078
4. Step 4: Simplify right side
   59,396x = 16,403,974,084
5. Step 5: Solve for x
   x = 16,403,974,084/59,396
6. Step 6: Final answer
   x = 276,179.78