Finding the Third Proportional to 59,525 and 128,314

Step by Step Solution

1. Step 1: Write the proportion equation
   59,525 : 128,314 = 128,314 : x
2. Step 2: Convert to fraction form
   59,525/128,314 = 128,314/x
3. Step 3: Cross multiply
   59,525x = 128,314 × 128,314
4. Step 4: Simplify right side
   59,525x = 16,464,482,596
5. Step 5: Solve for x
   x = 16,464,482,596/59,525
6. Step 6: Final answer
   x = 276,597.78