Finding the Third Proportional to 178,096 and 380,736

Step by Step Solution

1. Step 1: Write the proportion equation
   178,096 : 380,736 = 380,736 : x
2. Step 2: Convert to fraction form
   178,096/380,736 = 380,736/x
3. Step 3: Cross multiply
   178,096x = 380,736 × 380,736
4. Step 4: Simplify right side
   178,096x = 144,959,901,696
5. Step 5: Solve for x
   x = 144,959,901,696/178,096
6. Step 6: Final answer
   x = 813,942.49