Finding the Third Proportional to 123,321 and 269,469

Step by Step Solution

1. Step 1: Write the proportion equation
   123,321 : 269,469 = 269,469 : x
2. Step 2: Convert to fraction form
   123,321/269,469 = 269,469/x
3. Step 3: Cross multiply
   123,321x = 269,469 × 269,469
4. Step 4: Simplify right side
   123,321x = 72,613,541,961
5. Step 5: Solve for x
   x = 72,613,541,961/123,321
6. Step 6: Final answer
   x = 588,817.33