Finding the Third Proportional to 123,084 and 200,967.75

Step by Step Solution

1. Step 1: Write the proportion equation
   123,084 : 200,967.75 = 200,967.75 : x
2. Step 2: Convert to fraction form
   123,084/200,967.75 = 200,967.75/x
3. Step 3: Cross multiply
   123,084x = 200,967.75 × 200,967.75
4. Step 4: Simplify right side
   123,084x = 40,388,036,540.06
5. Step 5: Solve for x
   x = 40,388,036,540.06/123,084
6. Step 6: Final answer
   x = 328,133.93