Finding the Third Proportional to 123,580 and 255,904

Step by Step Solution

1. Step 1: Write the proportion equation
   123,580 : 255,904 = 255,904 : x
2. Step 2: Convert to fraction form
   123,580/255,904 = 255,904/x
3. Step 3: Cross multiply
   123,580x = 255,904 × 255,904
4. Step 4: Simplify right side
   123,580x = 65,486,857,216
5. Step 5: Solve for x
   x = 65,486,857,216/123,580
6. Step 6: Final answer
   x = 529,914.69