Finding the Third Proportional to 82,144 and 126,843

Step by Step Solution

1. Step 1: Write the proportion equation
   82,144 : 126,843 = 126,843 : x
2. Step 2: Convert to fraction form
   82,144/126,843 = 126,843/x
3. Step 3: Cross multiply
   82,144x = 126,843 × 126,843
4. Step 4: Simplify right side
   82,144x = 16,089,146,649
5. Step 5: Solve for x
   x = 16,089,146,649/82,144
6. Step 6: Final answer
   x = 195,865.15