Finding the Third Proportional to 83,556 and 172,647

Step by Step Solution

1. Step 1: Write the proportion equation
   83,556 : 172,647 = 172,647 : x
2. Step 2: Convert to fraction form
   83,556/172,647 = 172,647/x
3. Step 3: Cross multiply
   83,556x = 172,647 × 172,647
4. Step 4: Simplify right side
   83,556x = 29,806,986,609
5. Step 5: Solve for x
   x = 29,806,986,609/83,556
6. Step 6: Final answer
   x = 356,730.65