Finding the Third Proportional to 123,256 and 252,352

Step by Step Solution

1. Step 1: Write the proportion equation
   123,256 : 252,352 = 252,352 : x
2. Step 2: Convert to fraction form
   123,256/252,352 = 252,352/x
3. Step 3: Cross multiply
   123,256x = 252,352 × 252,352
4. Step 4: Simplify right side
   123,256x = 63,681,531,904
5. Step 5: Solve for x
   x = 63,681,531,904/123,256
6. Step 6: Final answer
   x = 516,660.71