Finding the Third Proportional to 123,015 and 269,007

Step by Step Solution

1. Step 1: Write the proportion equation
   123,015 : 269,007 = 269,007 : x
2. Step 2: Convert to fraction form
   123,015/269,007 = 269,007/x
3. Step 3: Cross multiply
   123,015x = 269,007 × 269,007
4. Step 4: Simplify right side
   123,015x = 72,364,766,049
5. Step 5: Solve for x
   x = 72,364,766,049/123,015
6. Step 6: Final answer
   x = 588,259.69