Finding the Third Proportional to 123,682 and 264,855

Step by Step Solution

1. Step 1: Write the proportion equation
   123,682 : 264,855 = 264,855 : x
2. Step 2: Convert to fraction form
   123,682/264,855 = 264,855/x
3. Step 3: Cross multiply
   123,682x = 264,855 × 264,855
4. Step 4: Simplify right side
   123,682x = 70,148,171,025
5. Step 5: Solve for x
   x = 70,148,171,025/123,682
6. Step 6: Final answer
   x = 567,165.56