Finding the Third Proportional to 81,682 and 179,086

Step by Step Solution

1. Step 1: Write the proportion equation
   81,682 : 179,086 = 179,086 : x
2. Step 2: Convert to fraction form
   81,682/179,086 = 179,086/x
3. Step 3: Cross multiply
   81,682x = 179,086 × 179,086
4. Step 4: Simplify right side
   81,682x = 32,071,795,396
5. Step 5: Solve for x
   x = 32,071,795,396/81,682
6. Step 6: Final answer
   x = 392,642.14