Finding the Third Proportional to 178,200 and 384,030

Step by Step Solution

1. Step 1: Write the proportion equation
   178,200 : 384,030 = 384,030 : x
2. Step 2: Convert to fraction form
   178,200/384,030 = 384,030/x
3. Step 3: Cross multiply
   178,200x = 384,030 × 384,030
4. Step 4: Simplify right side
   178,200x = 147,479,040,900
5. Step 5: Solve for x
   x = 147,479,040,900/178,200
6. Step 6: Final answer
   x = 827,604.05