Finding the Third Proportional to 82,016 and 130,404

Step by Step Solution

1. Step 1: Write the proportion equation
   82,016 : 130,404 = 130,404 : x
2. Step 2: Convert to fraction form
   82,016/130,404 = 130,404/x
3. Step 3: Cross multiply
   82,016x = 130,404 × 130,404
4. Step 4: Simplify right side
   82,016x = 17,005,203,216
5. Step 5: Solve for x
   x = 17,005,203,216/82,016
6. Step 6: Final answer
   x = 207,340.07