Finding the Third Proportional to 82,852 and 130,182

Step by Step Solution

1. Step 1: Write the proportion equation
   82,852 : 130,182 = 130,182 : x
2. Step 2: Convert to fraction form
   82,852/130,182 = 130,182/x
3. Step 3: Cross multiply
   82,852x = 130,182 × 130,182
4. Step 4: Simplify right side
   82,852x = 16,947,353,124
5. Step 5: Solve for x
   x = 16,947,353,124/82,852
6. Step 6: Final answer
   x = 204,549.72