Finding the Third Proportional to 80,879 and 175,501

Step by Step Solution

1. Step 1: Write the proportion equation
   80,879 : 175,501 = 175,501 : x
2. Step 2: Convert to fraction form
   80,879/175,501 = 175,501/x
3. Step 3: Cross multiply
   80,879x = 175,501 × 175,501
4. Step 4: Simplify right side
   80,879x = 30,800,601,001
5. Step 5: Solve for x
   x = 30,800,601,001/80,879
6. Step 6: Final answer
   x = 380,823.22