Finding the Third Proportional to 82,916 and 178,936

Step by Step Solution

1. Step 1: Write the proportion equation
   82,916 : 178,936 = 178,936 : x
2. Step 2: Convert to fraction form
   82,916/178,936 = 178,936/x
3. Step 3: Cross multiply
   82,916x = 178,936 × 178,936
4. Step 4: Simplify right side
   82,916x = 32,018,092,096
5. Step 5: Solve for x
   x = 32,018,092,096/82,916
6. Step 6: Final answer
   x = 386,150.95