Finding the Third Proportional to 177,328.50 and 384,147

Step by Step Solution

1. Step 1: Write the proportion equation
   177,328.50 : 384,147 = 384,147 : x
2. Step 2: Convert to fraction form
   177,328.50/384,147 = 384,147/x
3. Step 3: Cross multiply
   177,328.50x = 384,147 × 384,147
4. Step 4: Simplify right side
   177,328.50x = 147,568,917,609
5. Step 5: Solve for x
   x = 147,568,917,609/177,328.50
6. Step 6: Final answer
   x = 832,178.23