Finding the Third Proportional to 123,527 and 269,643

Step by Step Solution

1. Step 1: Write the proportion equation
   123,527 : 269,643 = 269,643 : x
2. Step 2: Convert to fraction form
   123,527/269,643 = 269,643/x
3. Step 3: Cross multiply
   123,527x = 269,643 × 269,643
4. Step 4: Simplify right side
   123,527x = 72,707,347,449
5. Step 5: Solve for x
   x = 72,707,347,449/123,527
6. Step 6: Final answer
   x = 588,594.78