Finding the Third Proportional to 81,162 and 164,556

Step by Step Solution

1. Step 1: Write the proportion equation
   81,162 : 164,556 = 164,556 : x
2. Step 2: Convert to fraction form
   81,162/164,556 = 164,556/x
3. Step 3: Cross multiply
   81,162x = 164,556 × 164,556
4. Step 4: Simplify right side
   81,162x = 27,078,677,136
5. Step 5: Solve for x
   x = 27,078,677,136/81,162
6. Step 6: Final answer
   x = 333,637.38