Finding the Third Proportional to 123,006 and 195,797

Step by Step Solution

1. Step 1: Write the proportion equation
   123,006 : 195,797 = 195,797 : x
2. Step 2: Convert to fraction form
   123,006/195,797 = 195,797/x
3. Step 3: Cross multiply
   123,006x = 195,797 × 195,797
4. Step 4: Simplify right side
   123,006x = 38,336,465,209
5. Step 5: Solve for x
   x = 38,336,465,209/123,006
6. Step 6: Final answer
   x = 311,663.38