Finding the Third Proportional to 57,997 and 123,589

Step by Step Solution

1. Step 1: Write the proportion equation
   57,997 : 123,589 = 123,589 : x
2. Step 2: Convert to fraction form
   57,997/123,589 = 123,589/x
3. Step 3: Cross multiply
   57,997x = 123,589 × 123,589
4. Step 4: Simplify right side
   57,997x = 15,274,240,921
5. Step 5: Solve for x
   x = 15,274,240,921/57,997
6. Step 6: Final answer
   x = 263,362.60