Finding the Third Proportional to 123,000 and 195,788

Step by Step Solution

1. Step 1: Write the proportion equation
   123,000 : 195,788 = 195,788 : x
2. Step 2: Convert to fraction form
   123,000/195,788 = 195,788/x
3. Step 3: Cross multiply
   123,000x = 195,788 × 195,788
4. Step 4: Simplify right side
   123,000x = 38,332,940,944
5. Step 5: Solve for x
   x = 38,332,940,944/123,000
6. Step 6: Final answer
   x = 311,649.93