Finding the Third Proportional to 120,922 and 256,250

Step by Step Solution

1. Step 1: Write the proportion equation
   120,922 : 256,250 = 256,250 : x
2. Step 2: Convert to fraction form
   120,922/256,250 = 256,250/x
3. Step 3: Cross multiply
   120,922x = 256,250 × 256,250
4. Step 4: Simplify right side
   120,922x = 65,664,062,500
5. Step 5: Solve for x
   x = 65,664,062,500/120,922
6. Step 6: Final answer
   x = 543,028.25