Finding the Third Proportional to 82,356.25 and 179,816

Step by Step Solution

1. Step 1: Write the proportion equation
   82,356.25 : 179,816 = 179,816 : x
2. Step 2: Convert to fraction form
   82,356.25/179,816 = 179,816/x
3. Step 3: Cross multiply
   82,356.25x = 179,816 × 179,816
4. Step 4: Simplify right side
   82,356.25x = 32,333,793,856
5. Step 5: Solve for x
   x = 32,333,793,856/82,356.25
6. Step 6: Final answer
   x = 392,608.87