Finding the Third Proportional to 123,682 and 264,854

Step by Step Solution

1. Step 1: Write the proportion equation
   123,682 : 264,854 = 264,854 : x
2. Step 2: Convert to fraction form
   123,682/264,854 = 264,854/x
3. Step 3: Cross multiply
   123,682x = 264,854 × 264,854
4. Step 4: Simplify right side
   123,682x = 70,147,641,316
5. Step 5: Solve for x
   x = 70,147,641,316/123,682
6. Step 6: Final answer
   x = 567,161.28