Finding the Third Proportional to 59,206 and 123,884

Step by Step Solution

1. Step 1: Write the proportion equation
   59,206 : 123,884 = 123,884 : x
2. Step 2: Convert to fraction form
   59,206/123,884 = 123,884/x
3. Step 3: Cross multiply
   59,206x = 123,884 × 123,884
4. Step 4: Simplify right side
   59,206x = 15,347,245,456
5. Step 5: Solve for x
   x = 15,347,245,456/59,206
6. Step 6: Final answer
   x = 259,217.74