Finding the Third Proportional to 123,385 and 196,241

Step by Step Solution

1. Step 1: Write the proportion equation
   123,385 : 196,241 = 196,241 : x
2. Step 2: Convert to fraction form
   123,385/196,241 = 196,241/x
3. Step 3: Cross multiply
   123,385x = 196,241 × 196,241
4. Step 4: Simplify right side
   123,385x = 38,510,530,081
5. Step 5: Solve for x
   x = 38,510,530,081/123,385
6. Step 6: Final answer
   x = 312,116.79