Finding the Third Proportional to 80,128 and 116,058

Step by Step Solution

1. Step 1: Write the proportion equation
   80,128 : 116,058 = 116,058 : x
2. Step 2: Convert to fraction form
   80,128/116,058 = 116,058/x
3. Step 3: Cross multiply
   80,128x = 116,058 × 116,058
4. Step 4: Simplify right side
   80,128x = 13,469,459,364
5. Step 5: Solve for x
   x = 13,469,459,364/80,128
6. Step 6: Final answer
   x = 168,099.28