Finding the Third Proportional to 177,744 and 380,399.25

Step by Step Solution

1. Step 1: Write the proportion equation
   177,744 : 380,399.25 = 380,399.25 : x
2. Step 2: Convert to fraction form
   177,744/380,399.25 = 380,399.25/x
3. Step 3: Cross multiply
   177,744x = 380,399.25 × 380,399.25
4. Step 4: Simplify right side
   177,744x = 144,703,589,400.56
5. Step 5: Solve for x
   x = 144,703,589,400.56/177,744
6. Step 6: Final answer
   x = 814,112.37