Finding the Third Proportional to 174,716 and 379,096

Step by Step Solution

1. Step 1: Write the proportion equation
   174,716 : 379,096 = 379,096 : x
2. Step 2: Convert to fraction form
   174,716/379,096 = 379,096/x
3. Step 3: Cross multiply
   174,716x = 379,096 × 379,096
4. Step 4: Simplify right side
   174,716x = 143,713,777,216
5. Step 5: Solve for x
   x = 143,713,777,216/174,716
6. Step 6: Final answer
   x = 822,556.48