Finding the Third Proportional to 82,783 and 178,799

Step by Step Solution

1. Step 1: Write the proportion equation
   82,783 : 178,799 = 178,799 : x
2. Step 2: Convert to fraction form
   82,783/178,799 = 178,799/x
3. Step 3: Cross multiply
   82,783x = 178,799 × 178,799
4. Step 4: Simplify right side
   82,783x = 31,969,082,401
5. Step 5: Solve for x
   x = 31,969,082,401/82,783
6. Step 6: Final answer
   x = 386,179.32