Finding the Third Proportional to 59,123 and 125,914

Step by Step Solution

1. Step 1: Write the proportion equation
   59,123 : 125,914 = 125,914 : x
2. Step 2: Convert to fraction form
   59,123/125,914 = 125,914/x
3. Step 3: Cross multiply
   59,123x = 125,914 × 125,914
4. Step 4: Simplify right side
   59,123x = 15,854,335,396
5. Step 5: Solve for x
   x = 15,854,335,396/59,123
6. Step 6: Final answer
   x = 268,158.51