Finding the Third Proportional to 120,016 and 258,500

Step by Step Solution

1. Step 1: Write the proportion equation
   120,016 : 258,500 = 258,500 : x
2. Step 2: Convert to fraction form
   120,016/258,500 = 258,500/x
3. Step 3: Cross multiply
   120,016x = 258,500 × 258,500
4. Step 4: Simplify right side
   120,016x = 66,822,250,000
5. Step 5: Solve for x
   x = 66,822,250,000/120,016
6. Step 6: Final answer
   x = 556,777.85