Finding the Third Proportional to 120,849 and 259,188

Step by Step Solution

1. Step 1: Write the proportion equation
   120,849 : 259,188 = 259,188 : x
2. Step 2: Convert to fraction form
   120,849/259,188 = 259,188/x
3. Step 3: Cross multiply
   120,849x = 259,188 × 259,188
4. Step 4: Simplify right side
   120,849x = 67,178,419,344
5. Step 5: Solve for x
   x = 67,178,419,344/120,849
6. Step 6: Final answer
   x = 555,887.26