Finding the Third Proportional to 59,197.50 and 123,867

Step by Step Solution

1. Step 1: Write the proportion equation
   59,197.50 : 123,867 = 123,867 : x
2. Step 2: Convert to fraction form
   59,197.50/123,867 = 123,867/x
3. Step 3: Cross multiply
   59,197.50x = 123,867 × 123,867
4. Step 4: Simplify right side
   59,197.50x = 15,343,033,689
5. Step 5: Solve for x
   x = 15,343,033,689/59,197.50
6. Step 6: Final answer
   x = 259,183.81