Finding the Third Proportional to 123,516 and 255,768

Step by Step Solution

1. Step 1: Write the proportion equation
   123,516 : 255,768 = 255,768 : x
2. Step 2: Convert to fraction form
   123,516/255,768 = 255,768/x
3. Step 3: Cross multiply
   123,516x = 255,768 × 255,768
4. Step 4: Simplify right side
   123,516x = 65,417,269,824
5. Step 5: Solve for x
   x = 65,417,269,824/123,516
6. Step 6: Final answer
   x = 529,625.88