Finding the Third Proportional to 82,800 and 184,336

Step by Step Solution

1. Step 1: Write the proportion equation
   82,800 : 184,336 = 184,336 : x
2. Step 2: Convert to fraction form
   82,800/184,336 = 184,336/x
3. Step 3: Cross multiply
   82,800x = 184,336 × 184,336
4. Step 4: Simplify right side
   82,800x = 33,979,760,896
5. Step 5: Solve for x
   x = 33,979,760,896/82,800
6. Step 6: Final answer
   x = 410,383.59