Finding the Third Proportional to 123,168 and 265,768

Step by Step Solution

1. Step 1: Write the proportion equation
   123,168 : 265,768 = 265,768 : x
2. Step 2: Convert to fraction form
   123,168/265,768 = 265,768/x
3. Step 3: Cross multiply
   123,168x = 265,768 × 265,768
4. Step 4: Simplify right side
   123,168x = 70,632,629,824
5. Step 5: Solve for x
   x = 70,632,629,824/123,168
6. Step 6: Final answer
   x = 573,465.75