Finding the Third Proportional to 80,756 and 172,556

Step by Step Solution

1. Step 1: Write the proportion equation
   80,756 : 172,556 = 172,556 : x
2. Step 2: Convert to fraction form
   80,756/172,556 = 172,556/x
3. Step 3: Cross multiply
   80,756x = 172,556 × 172,556
4. Step 4: Simplify right side
   80,756x = 29,775,573,136
5. Step 5: Solve for x
   x = 29,775,573,136/80,756
6. Step 6: Final answer
   x = 368,710.35