Finding the Third Proportional to 123,288 and 265,304

Step by Step Solution

1. Step 1: Write the proportion equation
   123,288 : 265,304 = 265,304 : x
2. Step 2: Convert to fraction form
   123,288/265,304 = 265,304/x
3. Step 3: Cross multiply
   123,288x = 265,304 × 265,304
4. Step 4: Simplify right side
   123,288x = 70,386,212,416
5. Step 5: Solve for x
   x = 70,386,212,416/123,288
6. Step 6: Final answer
   x = 570,908.87