Finding the Third Proportional to 82,236 and 179,268

Step by Step Solution

1. Step 1: Write the proportion equation
   82,236 : 179,268 = 179,268 : x
2. Step 2: Convert to fraction form
   82,236/179,268 = 179,268/x
3. Step 3: Cross multiply
   82,236x = 179,268 × 179,268
4. Step 4: Simplify right side
   82,236x = 32,137,015,824
5. Step 5: Solve for x
   x = 32,137,015,824/82,236
6. Step 6: Final answer
   x = 390,790.11