Finding the Third Proportional to 79,797 and 172,892

Step by Step Solution

1. Step 1: Write the proportion equation
   79,797 : 172,892 = 172,892 : x
2. Step 2: Convert to fraction form
   79,797/172,892 = 172,892/x
3. Step 3: Cross multiply
   79,797x = 172,892 × 172,892
4. Step 4: Simplify right side
   79,797x = 29,891,643,664
5. Step 5: Solve for x
   x = 29,891,643,664/79,797
6. Step 6: Final answer
   x = 374,596.08