Finding the Third Proportional to 178,856 and 379,030

Step by Step Solution

1. Step 1: Write the proportion equation
   178,856 : 379,030 = 379,030 : x
2. Step 2: Convert to fraction form
   178,856/379,030 = 379,030/x
3. Step 3: Cross multiply
   178,856x = 379,030 × 379,030
4. Step 4: Simplify right side
   178,856x = 143,663,740,900
5. Step 5: Solve for x
   x = 143,663,740,900/178,856
6. Step 6: Final answer
   x = 803,236.91