Finding the Third Proportional to 178,866 and 379,049

Step by Step Solution

1. Step 1: Write the proportion equation
   178,866 : 379,049 = 379,049 : x
2. Step 2: Convert to fraction form
   178,866/379,049 = 379,049/x
3. Step 3: Cross multiply
   178,866x = 379,049 × 379,049
4. Step 4: Simplify right side
   178,866x = 143,678,144,401
5. Step 5: Solve for x
   x = 143,678,144,401/178,866
6. Step 6: Final answer
   x = 803,272.53