Finding the Third Proportional to 123,066 and 268,364

Step by Step Solution

1. Step 1: Write the proportion equation
   123,066 : 268,364 = 268,364 : x
2. Step 2: Convert to fraction form
   123,066/268,364 = 268,364/x
3. Step 3: Cross multiply
   123,066x = 268,364 × 268,364
4. Step 4: Simplify right side
   123,066x = 72,019,236,496
5. Step 5: Solve for x
   x = 72,019,236,496/123,066
6. Step 6: Final answer
   x = 585,208.23