Finding the Third Proportional to 123,510 and 196,687

Step by Step Solution

1. Step 1: Write the proportion equation
   123,510 : 196,687 = 196,687 : x
2. Step 2: Convert to fraction form
   123,510/196,687 = 196,687/x
3. Step 3: Cross multiply
   123,510x = 196,687 × 196,687
4. Step 4: Simplify right side
   123,510x = 38,685,775,969
5. Step 5: Solve for x
   x = 38,685,775,969/123,510
6. Step 6: Final answer
   x = 313,219.79