Finding the Third Proportional to 81,891 and 179,058

Step by Step Solution

1. Step 1: Write the proportion equation
   81,891 : 179,058 = 179,058 : x
2. Step 2: Convert to fraction form
   81,891/179,058 = 179,058/x
3. Step 3: Cross multiply
   81,891x = 179,058 × 179,058
4. Step 4: Simplify right side
   81,891x = 32,061,767,364
5. Step 5: Solve for x
   x = 32,061,767,364/81,891
6. Step 6: Final answer
   x = 391,517.59