Finding the Third Proportional to 79,082 and 172,756

Step by Step Solution

1. Step 1: Write the proportion equation
   79,082 : 172,756 = 172,756 : x
2. Step 2: Convert to fraction form
   79,082/172,756 = 172,756/x
3. Step 3: Cross multiply
   79,082x = 172,756 × 172,756
4. Step 4: Simplify right side
   79,082x = 29,844,635,536
5. Step 5: Solve for x
   x = 29,844,635,536/79,082
6. Step 6: Final answer
   x = 377,388.48