Finding the Third Proportional to 120,192 and 264,960

Step by Step Solution

1. Step 1: Write the proportion equation
   120,192 : 264,960 = 264,960 : x
2. Step 2: Convert to fraction form
   120,192/264,960 = 264,960/x
3. Step 3: Cross multiply
   120,192x = 264,960 × 264,960
4. Step 4: Simplify right side
   120,192x = 70,203,801,600
5. Step 5: Solve for x
   x = 70,203,801,600/120,192
6. Step 6: Final answer
   x = 584,097.12