Finding the Third Proportional to 59,438 and 123,856

Step by Step Solution

1. Step 1: Write the proportion equation
   59,438 : 123,856 = 123,856 : x
2. Step 2: Convert to fraction form
   59,438/123,856 = 123,856/x
3. Step 3: Cross multiply
   59,438x = 123,856 × 123,856
4. Step 4: Simplify right side
   59,438x = 15,340,308,736
5. Step 5: Solve for x
   x = 15,340,308,736/59,438
6. Step 6: Final answer
   x = 258,089.25