Finding the Third Proportional to 123,902 and 196,929

Step by Step Solution

1. Step 1: Write the proportion equation
   123,902 : 196,929 = 196,929 : x
2. Step 2: Convert to fraction form
   123,902/196,929 = 196,929/x
3. Step 3: Cross multiply
   123,902x = 196,929 × 196,929
4. Step 4: Simplify right side
   123,902x = 38,781,031,041
5. Step 5: Solve for x
   x = 38,781,031,041/123,902
6. Step 6: Final answer
   x = 312,997.62