Finding the Third Proportional to 120,658 and 260,016

Step by Step Solution

1. Step 1: Write the proportion equation
   120,658 : 260,016 = 260,016 : x
2. Step 2: Convert to fraction form
   120,658/260,016 = 260,016/x
3. Step 3: Cross multiply
   120,658x = 260,016 × 260,016
4. Step 4: Simplify right side
   120,658x = 67,608,320,256
5. Step 5: Solve for x
   x = 67,608,320,256/120,658
6. Step 6: Final answer
   x = 560,330.19