Finding the Third Proportional to 59,441 and 123,864

Step by Step Solution

1. Step 1: Write the proportion equation
   59,441 : 123,864 = 123,864 : x
2. Step 2: Convert to fraction form
   59,441/123,864 = 123,864/x
3. Step 3: Cross multiply
   59,441x = 123,864 × 123,864
4. Step 4: Simplify right side
   59,441x = 15,342,290,496
5. Step 5: Solve for x
   x = 15,342,290,496/59,441
6. Step 6: Final answer
   x = 258,109.56