Finding the Third Proportional to 123,314 and 269,455

Step by Step Solution

1. Step 1: Write the proportion equation
   123,314 : 269,455 = 269,455 : x
2. Step 2: Convert to fraction form
   123,314/269,455 = 269,455/x
3. Step 3: Cross multiply
   123,314x = 269,455 × 269,455
4. Step 4: Simplify right side
   123,314x = 72,605,997,025
5. Step 5: Solve for x
   x = 72,605,997,025/123,314
6. Step 6: Final answer
   x = 588,789.57