Finding the Third Proportional to 82,004 and 126,510

Step by Step Solution

1. Step 1: Write the proportion equation
   82,004 : 126,510 = 126,510 : x
2. Step 2: Convert to fraction form
   82,004/126,510 = 126,510/x
3. Step 3: Cross multiply
   82,004x = 126,510 × 126,510
4. Step 4: Simplify right side
   82,004x = 16,004,780,100
5. Step 5: Solve for x
   x = 16,004,780,100/82,004
6. Step 6: Final answer
   x = 195,170.72