Finding the Third Proportional to 81,434 and 179,212

Step by Step Solution

1. Step 1: Write the proportion equation
   81,434 : 179,212 = 179,212 : x
2. Step 2: Convert to fraction form
   81,434/179,212 = 179,212/x
3. Step 3: Cross multiply
   81,434x = 179,212 × 179,212
4. Step 4: Simplify right side
   81,434x = 32,116,940,944
5. Step 5: Solve for x
   x = 32,116,940,944/81,434
6. Step 6: Final answer
   x = 394,392.28