Finding the Third Proportional to 123,021.50 and 269,019.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,021.50 : 269,019.50 = 269,019.50 : x
2. Step 2: Convert to fraction form
   123,021.50/269,019.50 = 269,019.50/x
3. Step 3: Cross multiply
   123,021.50x = 269,019.50 × 269,019.50
4. Step 4: Simplify right side
   123,021.50x = 72,371,491,380.25
5. Step 5: Solve for x
   x = 72,371,491,380.25/123,021.50
6. Step 6: Final answer
   x = 588,283.28