Finding the Third Proportional to 126,280 and 196,061

Step by Step Solution

1. Step 1: Write the proportion equation
   126,280 : 196,061 = 196,061 : x
2. Step 2: Convert to fraction form
   126,280/196,061 = 196,061/x
3. Step 3: Cross multiply
   126,280x = 196,061 × 196,061
4. Step 4: Simplify right side
   126,280x = 38,439,915,721
5. Step 5: Solve for x
   x = 38,439,915,721/126,280
6. Step 6: Final answer
   x = 304,402.25