Finding the Third Proportional to 123,004 and 195,794

Step by Step Solution

1. Step 1: Write the proportion equation
   123,004 : 195,794 = 195,794 : x
2. Step 2: Convert to fraction form
   123,004/195,794 = 195,794/x
3. Step 3: Cross multiply
   123,004x = 195,794 × 195,794
4. Step 4: Simplify right side
   123,004x = 38,335,290,436
5. Step 5: Solve for x
   x = 38,335,290,436/123,004
6. Step 6: Final answer
   x = 311,658.89