Finding the Third Proportional to 82,041 and 178,906

Step by Step Solution

1. Step 1: Write the proportion equation
   82,041 : 178,906 = 178,906 : x
2. Step 2: Convert to fraction form
   82,041/178,906 = 178,906/x
3. Step 3: Cross multiply
   82,041x = 178,906 × 178,906
4. Step 4: Simplify right side
   82,041x = 32,007,356,836
5. Step 5: Solve for x
   x = 32,007,356,836/82,041
6. Step 6: Final answer
   x = 390,138.55