Finding the Third Proportional to 120,078 and 260,504

Step by Step Solution

1. Step 1: Write the proportion equation
   120,078 : 260,504 = 260,504 : x
2. Step 2: Convert to fraction form
   120,078/260,504 = 260,504/x
3. Step 3: Cross multiply
   120,078x = 260,504 × 260,504
4. Step 4: Simplify right side
   120,078x = 67,862,334,016
5. Step 5: Solve for x
   x = 67,862,334,016/120,078
6. Step 6: Final answer
   x = 565,152.10