Finding the Third Proportional to 83,520 and 126,144

Step by Step Solution

1. Step 1: Write the proportion equation
   83,520 : 126,144 = 126,144 : x
2. Step 2: Convert to fraction form
   83,520/126,144 = 126,144/x
3. Step 3: Cross multiply
   83,520x = 126,144 × 126,144
4. Step 4: Simplify right side
   83,520x = 15,912,308,736
5. Step 5: Solve for x
   x = 15,912,308,736/83,520
6. Step 6: Final answer
   x = 190,520.94