Finding the Third Proportional to 59,200 and 123,872

Step by Step Solution

1. Step 1: Write the proportion equation
   59,200 : 123,872 = 123,872 : x
2. Step 2: Convert to fraction form
   59,200/123,872 = 123,872/x
3. Step 3: Cross multiply
   59,200x = 123,872 × 123,872
4. Step 4: Simplify right side
   59,200x = 15,344,272,384
5. Step 5: Solve for x
   x = 15,344,272,384/59,200
6. Step 6: Final answer
   x = 259,193.79