Finding the Third Proportional to 123,123 and 264,636

Step by Step Solution

1. Step 1: Write the proportion equation
   123,123 : 264,636 = 264,636 : x
2. Step 2: Convert to fraction form
   123,123/264,636 = 264,636/x
3. Step 3: Cross multiply
   123,123x = 264,636 × 264,636
4. Step 4: Simplify right side
   123,123x = 70,032,212,496
5. Step 5: Solve for x
   x = 70,032,212,496/123,123
6. Step 6: Final answer
   x = 568,798.78