Finding the Third Proportional to 59,399 and 123,697

Step by Step Solution

1. Step 1: Write the proportion equation
   59,399 : 123,697 = 123,697 : x
2. Step 2: Convert to fraction form
   59,399/123,697 = 123,697/x
3. Step 3: Cross multiply
   59,399x = 123,697 × 123,697
4. Step 4: Simplify right side
   59,399x = 15,300,947,809
5. Step 5: Solve for x
   x = 15,300,947,809/59,399
6. Step 6: Final answer
   x = 257,596.05