Finding the Third Proportional to 123,817 and 204,858

Step by Step Solution

1. Step 1: Write the proportion equation
   123,817 : 204,858 = 204,858 : x
2. Step 2: Convert to fraction form
   123,817/204,858 = 204,858/x
3. Step 3: Cross multiply
   123,817x = 204,858 × 204,858
4. Step 4: Simplify right side
   123,817x = 41,966,800,164
5. Step 5: Solve for x
   x = 41,966,800,164/123,817
6. Step 6: Final answer
   x = 338,942.15