Finding the Third Proportional to 178,160.77 and 384,171.61

Step by Step Solution

1. Step 1: Write the proportion equation
   178,160.77 : 384,171.61 = 384,171.61 : x
2. Step 2: Convert to fraction form
   178,160.77/384,171.61 = 384,171.61/x
3. Step 3: Cross multiply
   178,160.77x = 384,171.61 × 384,171.61
4. Step 4: Simplify right side
   178,160.77x = 147,587,825,449.78
5. Step 5: Solve for x
   x = 147,587,825,449.78/178,160.77
6. Step 6: Final answer
   x = 828,396.90