Finding the Third Proportional to 126,336 and 196,884

Step by Step Solution

1. Step 1: Write the proportion equation
   126,336 : 196,884 = 196,884 : x
2. Step 2: Convert to fraction form
   126,336/196,884 = 196,884/x
3. Step 3: Cross multiply
   126,336x = 196,884 × 196,884
4. Step 4: Simplify right side
   126,336x = 38,763,309,456
5. Step 5: Solve for x
   x = 38,763,309,456/126,336
6. Step 6: Final answer
   x = 306,827.11