Finding the Third Proportional to 79,856 and 174,616.50

Step by Step Solution

1. Step 1: Write the proportion equation
   79,856 : 174,616.50 = 174,616.50 : x
2. Step 2: Convert to fraction form
   79,856/174,616.50 = 174,616.50/x
3. Step 3: Cross multiply
   79,856x = 174,616.50 × 174,616.50
4. Step 4: Simplify right side
   79,856x = 30,490,922,072.25
5. Step 5: Solve for x
   x = 30,490,922,072.25/79,856
6. Step 6: Final answer
   x = 381,823.81