Finding the Third Proportional to 123,120 and 264,628

Step by Step Solution

1. Step 1: Write the proportion equation
   123,120 : 264,628 = 264,628 : x
2. Step 2: Convert to fraction form
   123,120/264,628 = 264,628/x
3. Step 3: Cross multiply
   123,120x = 264,628 × 264,628
4. Step 4: Simplify right side
   123,120x = 70,027,978,384
5. Step 5: Solve for x
   x = 70,027,978,384/123,120
6. Step 6: Final answer
   x = 568,778.25