Finding the Third Proportional to 80,326.69 and 174,944.81

Step by Step Solution

1. Step 1: Write the proportion equation
   80,326.69 : 174,944.81 = 174,944.81 : x
2. Step 2: Convert to fraction form
   80,326.69/174,944.81 = 174,944.81/x
3. Step 3: Cross multiply
   80,326.69x = 174,944.81 × 174,944.81
4. Step 4: Simplify right side
   80,326.69x = 30,605,687,420.66
5. Step 5: Solve for x
   x = 30,605,687,420.66/80,326.69
6. Step 6: Final answer
   x = 381,015.18