Finding the Third Proportional to 53,082 and 82,404

Step by Step Solution

1. Step 1: Write the proportion equation
   53,082 : 82,404 = 82,404 : x
2. Step 2: Convert to fraction form
   53,082/82,404 = 82,404/x
3. Step 3: Cross multiply
   53,082x = 82,404 × 82,404
4. Step 4: Simplify right side
   53,082x = 6,790,419,216
5. Step 5: Solve for x
   x = 6,790,419,216/53,082
6. Step 6: Final answer
   x = 127,923.20