Finding the Third Proportional to 178,171.50 and 384,198

Step by Step Solution

1. Step 1: Write the proportion equation
   178,171.50 : 384,198 = 384,198 : x
2. Step 2: Convert to fraction form
   178,171.50/384,198 = 384,198/x
3. Step 3: Cross multiply
   178,171.50x = 384,198 × 384,198
4. Step 4: Simplify right side
   178,171.50x = 147,608,103,204
5. Step 5: Solve for x
   x = 147,608,103,204/178,171.50
6. Step 6: Final answer
   x = 828,460.80