Finding the Third Proportional to 82,144 and 176,556

Step by Step Solution

1. Step 1: Write the proportion equation
   82,144 : 176,556 = 176,556 : x
2. Step 2: Convert to fraction form
   82,144/176,556 = 176,556/x
3. Step 3: Cross multiply
   82,144x = 176,556 × 176,556
4. Step 4: Simplify right side
   82,144x = 31,172,021,136
5. Step 5: Solve for x
   x = 31,172,021,136/82,144
6. Step 6: Final answer
   x = 379,480.19