Finding the Third Proportional to 120,768 and 264,864

Step by Step Solution

1. Step 1: Write the proportion equation
   120,768 : 264,864 = 264,864 : x
2. Step 2: Convert to fraction form
   120,768/264,864 = 264,864/x
3. Step 3: Cross multiply
   120,768x = 264,864 × 264,864
4. Step 4: Simplify right side
   120,768x = 70,152,938,496
5. Step 5: Solve for x
   x = 70,152,938,496/120,768
6. Step 6: Final answer
   x = 580,890.12