Finding the Third Proportional to 126,046 and 195,144

Step by Step Solution

1. Step 1: Write the proportion equation
   126,046 : 195,144 = 195,144 : x
2. Step 2: Convert to fraction form
   126,046/195,144 = 195,144/x
3. Step 3: Cross multiply
   126,046x = 195,144 × 195,144
4. Step 4: Simplify right side
   126,046x = 38,081,180,736
5. Step 5: Solve for x
   x = 38,081,180,736/126,046
6. Step 6: Final answer
   x = 302,121.29