Finding the Third Proportional to 82,109 and 177,036

Step by Step Solution

1. Step 1: Write the proportion equation
   82,109 : 177,036 = 177,036 : x
2. Step 2: Convert to fraction form
   82,109/177,036 = 177,036/x
3. Step 3: Cross multiply
   82,109x = 177,036 × 177,036
4. Step 4: Simplify right side
   82,109x = 31,341,745,296
5. Step 5: Solve for x
   x = 31,341,745,296/82,109
6. Step 6: Final answer
   x = 381,709.01