Finding the Third Proportional to 123,336 and 267,408

Step by Step Solution

1. Step 1: Write the proportion equation
   123,336 : 267,408 = 267,408 : x
2. Step 2: Convert to fraction form
   123,336/267,408 = 267,408/x
3. Step 3: Cross multiply
   123,336x = 267,408 × 267,408
4. Step 4: Simplify right side
   123,336x = 71,507,038,464
5. Step 5: Solve for x
   x = 71,507,038,464/123,336
6. Step 6: Final answer
   x = 579,774.26