Finding the Third Proportional to 120,839 and 259,180

Step by Step Solution

1. Step 1: Write the proportion equation
   120,839 : 259,180 = 259,180 : x
2. Step 2: Convert to fraction form
   120,839/259,180 = 259,180/x
3. Step 3: Cross multiply
   120,839x = 259,180 × 259,180
4. Step 4: Simplify right side
   120,839x = 67,174,272,400
5. Step 5: Solve for x
   x = 67,174,272,400/120,839
6. Step 6: Final answer
   x = 555,898.94