Finding the Third Proportional to 78,831 and 171,058

Step by Step Solution

1. Step 1: Write the proportion equation
   78,831 : 171,058 = 171,058 : x
2. Step 2: Convert to fraction form
   78,831/171,058 = 171,058/x
3. Step 3: Cross multiply
   78,831x = 171,058 × 171,058
4. Step 4: Simplify right side
   78,831x = 29,260,839,364
5. Step 5: Solve for x
   x = 29,260,839,364/78,831
6. Step 6: Final answer
   x = 371,184.42