Finding the Third Proportional to 123,681 and 264,852

Step by Step Solution

1. Step 1: Write the proportion equation
   123,681 : 264,852 = 264,852 : x
2. Step 2: Convert to fraction form
   123,681/264,852 = 264,852/x
3. Step 3: Cross multiply
   123,681x = 264,852 × 264,852
4. Step 4: Simplify right side
   123,681x = 70,146,581,904
5. Step 5: Solve for x
   x = 70,146,581,904/123,681
6. Step 6: Final answer
   x = 567,157.30