Finding the Third Proportional to 120,655 and 259,808

Step by Step Solution

1. Step 1: Write the proportion equation
   120,655 : 259,808 = 259,808 : x
2. Step 2: Convert to fraction form
   120,655/259,808 = 259,808/x
3. Step 3: Cross multiply
   120,655x = 259,808 × 259,808
4. Step 4: Simplify right side
   120,655x = 67,500,196,864
5. Step 5: Solve for x
   x = 67,500,196,864/120,655
6. Step 6: Final answer
   x = 559,447.99