Finding the Third Proportional to 59,780 and 123,448

Step by Step Solution

1. Step 1: Write the proportion equation
   59,780 : 123,448 = 123,448 : x
2. Step 2: Convert to fraction form
   59,780/123,448 = 123,448/x
3. Step 3: Cross multiply
   59,780x = 123,448 × 123,448
4. Step 4: Simplify right side
   59,780x = 15,239,408,704
5. Step 5: Solve for x
   x = 15,239,408,704/59,780
6. Step 6: Final answer
   x = 254,924.87