Finding the Third Proportional to 120,662 and 259,736

Step by Step Solution

1. Step 1: Write the proportion equation
   120,662 : 259,736 = 259,736 : x
2. Step 2: Convert to fraction form
   120,662/259,736 = 259,736/x
3. Step 3: Cross multiply
   120,662x = 259,736 × 259,736
4. Step 4: Simplify right side
   120,662x = 67,462,789,696
5. Step 5: Solve for x
   x = 67,462,789,696/120,662
6. Step 6: Final answer
   x = 559,105.52