Finding the Third Proportional to 83,082 and 178,836

Step by Step Solution

1. Step 1: Write the proportion equation
   83,082 : 178,836 = 178,836 : x
2. Step 2: Convert to fraction form
   83,082/178,836 = 178,836/x
3. Step 3: Cross multiply
   83,082x = 178,836 × 178,836
4. Step 4: Simplify right side
   83,082x = 31,982,314,896
5. Step 5: Solve for x
   x = 31,982,314,896/83,082
6. Step 6: Final answer
   x = 384,948.78