Finding the Third Proportional to 83,208.94 and 179,724.38

Step by Step Solution

1. Step 1: Write the proportion equation
   83,208.94 : 179,724.38 = 179,724.38 : x
2. Step 2: Convert to fraction form
   83,208.94/179,724.38 = 179,724.38/x
3. Step 3: Cross multiply
   83,208.94x = 179,724.38 × 179,724.38
4. Step 4: Simplify right side
   83,208.94x = 32,300,850,969.14
5. Step 5: Solve for x
   x = 32,300,850,969.14/83,208.94
6. Step 6: Final answer
   x = 388,189.68