Finding the Third Proportional to 82,783 and 179,969

Step by Step Solution

1. Step 1: Write the proportion equation
   82,783 : 179,969 = 179,969 : x
2. Step 2: Convert to fraction form
   82,783/179,969 = 179,969/x
3. Step 3: Cross multiply
   82,783x = 179,969 × 179,969
4. Step 4: Simplify right side
   82,783x = 32,388,840,961
5. Step 5: Solve for x
   x = 32,388,840,961/82,783
6. Step 6: Final answer
   x = 391,249.91