Finding the Third Proportional to 59,493 and 123,918

Step by Step Solution

1. Step 1: Write the proportion equation
   59,493 : 123,918 = 123,918 : x
2. Step 2: Convert to fraction form
   59,493/123,918 = 123,918/x
3. Step 3: Cross multiply
   59,493x = 123,918 × 123,918
4. Step 4: Simplify right side
   59,493x = 15,355,670,724
5. Step 5: Solve for x
   x = 15,355,670,724/59,493
6. Step 6: Final answer
   x = 258,108.87