Finding the Third Proportional to 123,514 and 255,764

Step by Step Solution

1. Step 1: Write the proportion equation
   123,514 : 255,764 = 255,764 : x
2. Step 2: Convert to fraction form
   123,514/255,764 = 255,764/x
3. Step 3: Cross multiply
   123,514x = 255,764 × 255,764
4. Step 4: Simplify right side
   123,514x = 65,415,223,696
5. Step 5: Solve for x
   x = 65,415,223,696/123,514
6. Step 6: Final answer
   x = 529,617.89