Finding the Third Proportional to 123,036 and 268,308

Step by Step Solution

1. Step 1: Write the proportion equation
   123,036 : 268,308 = 268,308 : x
2. Step 2: Convert to fraction form
   123,036/268,308 = 268,308/x
3. Step 3: Cross multiply
   123,036x = 268,308 × 268,308
4. Step 4: Simplify right side
   123,036x = 71,989,182,864
5. Step 5: Solve for x
   x = 71,989,182,864/123,036
6. Step 6: Final answer
   x = 585,106.66