Finding the Third Proportional to 123,678 and 267,036

Step by Step Solution

1. Step 1: Write the proportion equation
   123,678 : 267,036 = 267,036 : x
2. Step 2: Convert to fraction form
   123,678/267,036 = 267,036/x
3. Step 3: Cross multiply
   123,678x = 267,036 × 267,036
4. Step 4: Simplify right side
   123,678x = 71,308,225,296
5. Step 5: Solve for x
   x = 71,308,225,296/123,678
6. Step 6: Final answer
   x = 576,563.54