Finding the Third Proportional to 82,021 and 178,866

Step by Step Solution

1. Step 1: Write the proportion equation
   82,021 : 178,866 = 178,866 : x
2. Step 2: Convert to fraction form
   82,021/178,866 = 178,866/x
3. Step 3: Cross multiply
   82,021x = 178,866 × 178,866
4. Step 4: Simplify right side
   82,021x = 31,993,045,956
5. Step 5: Solve for x
   x = 31,993,045,956/82,021
6. Step 6: Final answer
   x = 390,059.20