Finding the Third Proportional to 123,084 and 267,768

Step by Step Solution

1. Step 1: Write the proportion equation
   123,084 : 267,768 = 267,768 : x
2. Step 2: Convert to fraction form
   123,084/267,768 = 267,768/x
3. Step 3: Cross multiply
   123,084x = 267,768 × 267,768
4. Step 4: Simplify right side
   123,084x = 71,699,701,824
5. Step 5: Solve for x
   x = 71,699,701,824/123,084
6. Step 6: Final answer
   x = 582,526.58