Finding the Third Proportional to 59,201 and 123,874

Step by Step Solution

1. Step 1: Write the proportion equation
   59,201 : 123,874 = 123,874 : x
2. Step 2: Convert to fraction form
   59,201/123,874 = 123,874/x
3. Step 3: Cross multiply
   59,201x = 123,874 × 123,874
4. Step 4: Simplify right side
   59,201x = 15,344,767,876
5. Step 5: Solve for x
   x = 15,344,767,876/59,201
6. Step 6: Final answer
   x = 259,197.78