Finding the Third Proportional to 126,292 and 196,078

Step by Step Solution

1. Step 1: Write the proportion equation
   126,292 : 196,078 = 196,078 : x
2. Step 2: Convert to fraction form
   126,292/196,078 = 196,078/x
3. Step 3: Cross multiply
   126,292x = 196,078 × 196,078
4. Step 4: Simplify right side
   126,292x = 38,446,582,084
5. Step 5: Solve for x
   x = 38,446,582,084/126,292
6. Step 6: Final answer
   x = 304,426.11