Finding the Third Proportional to 81,802 and 173,034

Step by Step Solution

1. Step 1: Write the proportion equation
   81,802 : 173,034 = 173,034 : x
2. Step 2: Convert to fraction form
   81,802/173,034 = 173,034/x
3. Step 3: Cross multiply
   81,802x = 173,034 × 173,034
4. Step 4: Simplify right side
   81,802x = 29,940,765,156
5. Step 5: Solve for x
   x = 29,940,765,156/81,802
6. Step 6: Final answer
   x = 366,015.07