Finding the Third Proportional to 80,856 and 175,869

Step by Step Solution

1. Step 1: Write the proportion equation
   80,856 : 175,869 = 175,869 : x
2. Step 2: Convert to fraction form
   80,856/175,869 = 175,869/x
3. Step 3: Cross multiply
   80,856x = 175,869 × 175,869
4. Step 4: Simplify right side
   80,856x = 30,929,905,161
5. Step 5: Solve for x
   x = 30,929,905,161/80,856
6. Step 6: Final answer
   x = 382,530.74