Finding the Third Proportional to 81,811 and 173,508

Step by Step Solution

1. Step 1: Write the proportion equation
   81,811 : 173,508 = 173,508 : x
2. Step 2: Convert to fraction form
   81,811/173,508 = 173,508/x
3. Step 3: Cross multiply
   81,811x = 173,508 × 173,508
4. Step 4: Simplify right side
   81,811x = 30,105,026,064
5. Step 5: Solve for x
   x = 30,105,026,064/81,811
6. Step 6: Final answer
   x = 367,982.62