Finding the Third Proportional to 82,015 and 178,245

Step by Step Solution

1. Step 1: Write the proportion equation
   82,015 : 178,245 = 178,245 : x
2. Step 2: Convert to fraction form
   82,015/178,245 = 178,245/x
3. Step 3: Cross multiply
   82,015x = 178,245 × 178,245
4. Step 4: Simplify right side
   82,015x = 31,771,280,025
5. Step 5: Solve for x
   x = 31,771,280,025/82,015
6. Step 6: Final answer
   x = 387,383.77