Finding the Third Proportional to 123,684 and 264,858

Step by Step Solution

1. Step 1: Write the proportion equation
   123,684 : 264,858 = 264,858 : x
2. Step 2: Convert to fraction form
   123,684/264,858 = 264,858/x
3. Step 3: Cross multiply
   123,684x = 264,858 × 264,858
4. Step 4: Simplify right side
   123,684x = 70,149,760,164
5. Step 5: Solve for x
   x = 70,149,760,164/123,684
6. Step 6: Final answer
   x = 567,169.24