Finding the Third Proportional to 178,174.50 and 384,204

Step by Step Solution

1. Step 1: Write the proportion equation
   178,174.50 : 384,204 = 384,204 : x
2. Step 2: Convert to fraction form
   178,174.50/384,204 = 384,204/x
3. Step 3: Cross multiply
   178,174.50x = 384,204 × 384,204
4. Step 4: Simplify right side
   178,174.50x = 147,612,713,616
5. Step 5: Solve for x
   x = 147,612,713,616/178,174.50
6. Step 6: Final answer
   x = 828,472.73