Finding the Third Proportional to 71,082 and 164,556

Step by Step Solution

1. Step 1: Write the proportion equation
   71,082 : 164,556 = 164,556 : x
2. Step 2: Convert to fraction form
   71,082/164,556 = 164,556/x
3. Step 3: Cross multiply
   71,082x = 164,556 × 164,556
4. Step 4: Simplify right side
   71,082x = 27,078,677,136
5. Step 5: Solve for x
   x = 27,078,677,136/71,082
6. Step 6: Final answer
   x = 380,949.85