Finding the Third Proportional to 123,965 and 268,530

Step by Step Solution

1. Step 1: Write the proportion equation
   123,965 : 268,530 = 268,530 : x
2. Step 2: Convert to fraction form
   123,965/268,530 = 268,530/x
3. Step 3: Cross multiply
   123,965x = 268,530 × 268,530
4. Step 4: Simplify right side
   123,965x = 72,108,360,900
5. Step 5: Solve for x
   x = 72,108,360,900/123,965
6. Step 6: Final answer
   x = 581,683.22