Finding the Third Proportional to 123,635 and 264,766

Step by Step Solution

1. Step 1: Write the proportion equation
   123,635 : 264,766 = 264,766 : x
2. Step 2: Convert to fraction form
   123,635/264,766 = 264,766/x
3. Step 3: Cross multiply
   123,635x = 264,766 × 264,766
4. Step 4: Simplify right side
   123,635x = 70,101,034,756
5. Step 5: Solve for x
   x = 70,101,034,756/123,635
6. Step 6: Final answer
   x = 566,999.92