Finding the Third Proportional to 123,914 and 270,868

Step by Step Solution

1. Step 1: Write the proportion equation
   123,914 : 270,868 = 270,868 : x
2. Step 2: Convert to fraction form
   123,914/270,868 = 270,868/x
3. Step 3: Cross multiply
   123,914x = 270,868 × 270,868
4. Step 4: Simplify right side
   123,914x = 73,369,473,424
5. Step 5: Solve for x
   x = 73,369,473,424/123,914
6. Step 6: Final answer
   x = 592,099.95