Finding the Third Proportional to 123,122 and 269,680

Step by Step Solution

1. Step 1: Write the proportion equation
   123,122 : 269,680 = 269,680 : x
2. Step 2: Convert to fraction form
   123,122/269,680 = 269,680/x
3. Step 3: Cross multiply
   123,122x = 269,680 × 269,680
4. Step 4: Simplify right side
   123,122x = 72,727,302,400
5. Step 5: Solve for x
   x = 72,727,302,400/123,122
6. Step 6: Final answer
   x = 590,692.99