Finding the Third Proportional to 123,385 and 268,884

Step by Step Solution

1. Step 1: Write the proportion equation
   123,385 : 268,884 = 268,884 : x
2. Step 2: Convert to fraction form
   123,385/268,884 = 268,884/x
3. Step 3: Cross multiply
   123,385x = 268,884 × 268,884
4. Step 4: Simplify right side
   123,385x = 72,298,605,456
5. Step 5: Solve for x
   x = 72,298,605,456/123,385
6. Step 6: Final answer
   x = 585,959.44