Finding the Third Proportional to 123,692 and 264,872

Step by Step Solution

1. Step 1: Write the proportion equation
   123,692 : 264,872 = 264,872 : x
2. Step 2: Convert to fraction form
   123,692/264,872 = 264,872/x
3. Step 3: Cross multiply
   123,692x = 264,872 × 264,872
4. Step 4: Simplify right side
   123,692x = 70,157,176,384
5. Step 5: Solve for x
   x = 70,157,176,384/123,692
6. Step 6: Final answer
   x = 567,192.51