Finding the Third Proportional to 120,380 and 259,260

Step by Step Solution

1. Step 1: Write the proportion equation
   120,380 : 259,260 = 259,260 : x
2. Step 2: Convert to fraction form
   120,380/259,260 = 259,260/x
3. Step 3: Cross multiply
   120,380x = 259,260 × 259,260
4. Step 4: Simplify right side
   120,380x = 67,215,747,600
5. Step 5: Solve for x
   x = 67,215,747,600/120,380
6. Step 6: Final answer
   x = 558,363.08