Finding the Third Proportional to 123,676 and 264,843

Step by Step Solution

1. Step 1: Write the proportion equation
   123,676 : 264,843 = 264,843 : x
2. Step 2: Convert to fraction form
   123,676/264,843 = 264,843/x
3. Step 3: Cross multiply
   123,676x = 264,843 × 264,843
4. Step 4: Simplify right side
   123,676x = 70,141,814,649
5. Step 5: Solve for x
   x = 70,141,814,649/123,676
6. Step 6: Final answer
   x = 567,141.68