Finding the Third Proportional to 177,325.50 and 384,162

Step by Step Solution

1. Step 1: Write the proportion equation
   177,325.50 : 384,162 = 384,162 : x
2. Step 2: Convert to fraction form
   177,325.50/384,162 = 384,162/x
3. Step 3: Cross multiply
   177,325.50x = 384,162 × 384,162
4. Step 4: Simplify right side
   177,325.50x = 147,580,442,244
5. Step 5: Solve for x
   x = 147,580,442,244/177,325.50
6. Step 6: Final answer
   x = 832,257.30