Finding the Third Proportional to 123,086 and 200,971

Step by Step Solution

1. Step 1: Write the proportion equation
   123,086 : 200,971 = 200,971 : x
2. Step 2: Convert to fraction form
   123,086/200,971 = 200,971/x
3. Step 3: Cross multiply
   123,086x = 200,971 × 200,971
4. Step 4: Simplify right side
   123,086x = 40,389,342,841
5. Step 5: Solve for x
   x = 40,389,342,841/123,086
6. Step 6: Final answer
   x = 328,139.21