Finding the Third Proportional to 59,256 and 129,960

Step by Step Solution

1. Step 1: Write the proportion equation
   59,256 : 129,960 = 129,960 : x
2. Step 2: Convert to fraction form
   59,256/129,960 = 129,960/x
3. Step 3: Cross multiply
   59,256x = 129,960 × 129,960
4. Step 4: Simplify right side
   59,256x = 16,889,601,600
5. Step 5: Solve for x
   x = 16,889,601,600/59,256
6. Step 6: Final answer
   x = 285,027.70