Finding the Third Proportional to 59,124 and 127,626

Step by Step Solution

1. Step 1: Write the proportion equation
   59,124 : 127,626 = 127,626 : x
2. Step 2: Convert to fraction form
   59,124/127,626 = 127,626/x
3. Step 3: Cross multiply
   59,124x = 127,626 × 127,626
4. Step 4: Simplify right side
   59,124x = 16,288,395,876
5. Step 5: Solve for x
   x = 16,288,395,876/59,124
6. Step 6: Final answer
   x = 275,495.50