Finding the Third Proportional to 123,686 and 264,862

Step by Step Solution

1. Step 1: Write the proportion equation
   123,686 : 264,862 = 264,862 : x
2. Step 2: Convert to fraction form
   123,686/264,862 = 264,862/x
3. Step 3: Cross multiply
   123,686x = 264,862 × 264,862
4. Step 4: Simplify right side
   123,686x = 70,151,879,044
5. Step 5: Solve for x
   x = 70,151,879,044/123,686
6. Step 6: Final answer
   x = 567,177.20