Finding the Third Proportional to 123,195 and 268,014

Step by Step Solution

1. Step 1: Write the proportion equation
   123,195 : 268,014 = 268,014 : x
2. Step 2: Convert to fraction form
   123,195/268,014 = 268,014/x
3. Step 3: Cross multiply
   123,195x = 268,014 × 268,014
4. Step 4: Simplify right side
   123,195x = 71,831,504,196
5. Step 5: Solve for x
   x = 71,831,504,196/123,195
6. Step 6: Final answer
   x = 583,071.59