Finding the Third Proportional to 82,732 and 126,546

Step by Step Solution

1. Step 1: Write the proportion equation
   82,732 : 126,546 = 126,546 : x
2. Step 2: Convert to fraction form
   82,732/126,546 = 126,546/x
3. Step 3: Cross multiply
   82,732x = 126,546 × 126,546
4. Step 4: Simplify right side
   82,732x = 16,013,890,116
5. Step 5: Solve for x
   x = 16,013,890,116/82,732
6. Step 6: Final answer
   x = 193,563.44