Finding the Third Proportional to 120,510 and 259,650

Step by Step Solution

1. Step 1: Write the proportion equation
   120,510 : 259,650 = 259,650 : x
2. Step 2: Convert to fraction form
   120,510/259,650 = 259,650/x
3. Step 3: Cross multiply
   120,510x = 259,650 × 259,650
4. Step 4: Simplify right side
   120,510x = 67,418,122,500
5. Step 5: Solve for x
   x = 67,418,122,500/120,510
6. Step 6: Final answer
   x = 559,440.07