Finding the Third Proportional to 59,387.75 and 123,689

Step by Step Solution

1. Step 1: Write the proportion equation
   59,387.75 : 123,689 = 123,689 : x
2. Step 2: Convert to fraction form
   59,387.75/123,689 = 123,689/x
3. Step 3: Cross multiply
   59,387.75x = 123,689 × 123,689
4. Step 4: Simplify right side
   59,387.75x = 15,298,968,721
5. Step 5: Solve for x
   x = 15,298,968,721/59,387.75
6. Step 6: Final answer
   x = 257,611.52