Finding the Third Proportional to 123,021.75 and 269,020.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,021.75 : 269,020.50 = 269,020.50 : x
2. Step 2: Convert to fraction form
   123,021.75/269,020.50 = 269,020.50/x
3. Step 3: Cross multiply
   123,021.75x = 269,020.50 × 269,020.50
4. Step 4: Simplify right side
   123,021.75x = 72,372,029,420.25
5. Step 5: Solve for x
   x = 72,372,029,420.25/123,021.75
6. Step 6: Final answer
   x = 588,286.46