Finding the Third Proportional to 120,878 and 259,250

Step by Step Solution

1. Step 1: Write the proportion equation
   120,878 : 259,250 = 259,250 : x
2. Step 2: Convert to fraction form
   120,878/259,250 = 259,250/x
3. Step 3: Cross multiply
   120,878x = 259,250 × 259,250
4. Step 4: Simplify right side
   120,878x = 67,210,562,500
5. Step 5: Solve for x
   x = 67,210,562,500/120,878
6. Step 6: Final answer
   x = 556,019.81