Finding the Third Proportional to 123,066 and 268,278

Step by Step Solution

1. Step 1: Write the proportion equation
   123,066 : 268,278 = 268,278 : x
2. Step 2: Convert to fraction form
   123,066/268,278 = 268,278/x
3. Step 3: Cross multiply
   123,066x = 268,278 × 268,278
4. Step 4: Simplify right side
   123,066x = 71,973,085,284
5. Step 5: Solve for x
   x = 71,973,085,284/123,066
6. Step 6: Final answer
   x = 584,833.22