Finding the Third Proportional to 126,288 and 196,072

Step by Step Solution

1. Step 1: Write the proportion equation
   126,288 : 196,072 = 196,072 : x
2. Step 2: Convert to fraction form
   126,288/196,072 = 196,072/x
3. Step 3: Cross multiply
   126,288x = 196,072 × 196,072
4. Step 4: Simplify right side
   126,288x = 38,444,229,184
5. Step 5: Solve for x
   x = 38,444,229,184/126,288
6. Step 6: Final answer
   x = 304,417.12