Finding the Third Proportional to 59,124 and 128,616

Step by Step Solution

1. Step 1: Write the proportion equation
   59,124 : 128,616 = 128,616 : x
2. Step 2: Convert to fraction form
   59,124/128,616 = 128,616/x
3. Step 3: Cross multiply
   59,124x = 128,616 × 128,616
4. Step 4: Simplify right side
   59,124x = 16,542,075,456
5. Step 5: Solve for x
   x = 16,542,075,456/59,124
6. Step 6: Final answer
   x = 279,786.14