Finding the Third Proportional to 82,392 and 180,826

Step by Step Solution

1. Step 1: Write the proportion equation
   82,392 : 180,826 = 180,826 : x
2. Step 2: Convert to fraction form
   82,392/180,826 = 180,826/x
3. Step 3: Cross multiply
   82,392x = 180,826 × 180,826
4. Step 4: Simplify right side
   82,392x = 32,698,042,276
5. Step 5: Solve for x
   x = 32,698,042,276/82,392
6. Step 6: Final answer
   x = 396,859.43