Finding the Third Proportional to 127,404 and 196,446

Step by Step Solution

1. Step 1: Write the proportion equation
   127,404 : 196,446 = 196,446 : x
2. Step 2: Convert to fraction form
   127,404/196,446 = 196,446/x
3. Step 3: Cross multiply
   127,404x = 196,446 × 196,446
4. Step 4: Simplify right side
   127,404x = 38,591,030,916
5. Step 5: Solve for x
   x = 38,591,030,916/127,404
6. Step 6: Final answer
   x = 302,902.82