Finding the Third Proportional to 120,012 and 259,274

Step by Step Solution

1. Step 1: Write the proportion equation
   120,012 : 259,274 = 259,274 : x
2. Step 2: Convert to fraction form
   120,012/259,274 = 259,274/x
3. Step 3: Cross multiply
   120,012x = 259,274 × 259,274
4. Step 4: Simplify right side
   120,012x = 67,223,007,076
5. Step 5: Solve for x
   x = 67,223,007,076/120,012
6. Step 6: Final answer
   x = 560,135.71