Finding the Third Proportional to 172,926 and 264,638

Step by Step Solution

1. Step 1: Write the proportion equation
   172,926 : 264,638 = 264,638 : x
2. Step 2: Convert to fraction form
   172,926/264,638 = 264,638/x
3. Step 3: Cross multiply
   172,926x = 264,638 × 264,638
4. Step 4: Simplify right side
   172,926x = 70,033,271,044
5. Step 5: Solve for x
   x = 70,033,271,044/172,926
6. Step 6: Final answer
   x = 404,989.83