Finding the Third Proportional to 80,160 and 171,054

Step by Step Solution

1. Step 1: Write the proportion equation
   80,160 : 171,054 = 171,054 : x
2. Step 2: Convert to fraction form
   80,160/171,054 = 171,054/x
3. Step 3: Cross multiply
   80,160x = 171,054 × 171,054
4. Step 4: Simplify right side
   80,160x = 29,259,470,916
5. Step 5: Solve for x
   x = 29,259,470,916/80,160
6. Step 6: Final answer
   x = 365,013.36