Finding the Third Proportional to 126,144 and 188,116

Step by Step Solution

1. Step 1: Write the proportion equation
   126,144 : 188,116 = 188,116 : x
2. Step 2: Convert to fraction form
   126,144/188,116 = 188,116/x
3. Step 3: Cross multiply
   126,144x = 188,116 × 188,116
4. Step 4: Simplify right side
   126,144x = 35,387,629,456
5. Step 5: Solve for x
   x = 35,387,629,456/126,144
6. Step 6: Final answer
   x = 280,533.59