Finding the Third Proportional to 178,300 and 379,496

Step by Step Solution

1. Step 1: Write the proportion equation
   178,300 : 379,496 = 379,496 : x
2. Step 2: Convert to fraction form
   178,300/379,496 = 379,496/x
3. Step 3: Cross multiply
   178,300x = 379,496 × 379,496
4. Step 4: Simplify right side
   178,300x = 144,017,214,016
5. Step 5: Solve for x
   x = 144,017,214,016/178,300
6. Step 6: Final answer
   x = 807,724.14