Finding the Third Proportional to 123,558 and 257,836

Step by Step Solution

1. Step 1: Write the proportion equation
   123,558 : 257,836 = 257,836 : x
2. Step 2: Convert to fraction form
   123,558/257,836 = 257,836/x
3. Step 3: Cross multiply
   123,558x = 257,836 × 257,836
4. Step 4: Simplify right side
   123,558x = 66,479,402,896
5. Step 5: Solve for x
   x = 66,479,402,896/123,558
6. Step 6: Final answer
   x = 538,042.08