Finding the Third Proportional to 123,360 and 264,234

Step by Step Solution

1. Step 1: Write the proportion equation
   123,360 : 264,234 = 264,234 : x
2. Step 2: Convert to fraction form
   123,360/264,234 = 264,234/x
3. Step 3: Cross multiply
   123,360x = 264,234 × 264,234
4. Step 4: Simplify right side
   123,360x = 69,819,606,756
5. Step 5: Solve for x
   x = 69,819,606,756/123,360
6. Step 6: Final answer
   x = 565,982.55