Finding the Third Proportional to 177,924.09 and 383,876.72

Step by Step Solution

1. Step 1: Write the proportion equation
   177,924.09 : 383,876.72 = 383,876.72 : x
2. Step 2: Convert to fraction form
   177,924.09/383,876.72 = 383,876.72/x
3. Step 3: Cross multiply
   177,924.09x = 383,876.72 × 383,876.72
4. Step 4: Simplify right side
   177,924.09x = 147,361,335,198.27
5. Step 5: Solve for x
   x = 147,361,335,198.27/177,924.09
6. Step 6: Final answer
   x = 828,225.86