Finding the Third Proportional to 123,020.25 and 269,017.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,020.25 : 269,017.50 = 269,017.50 : x
2. Step 2: Convert to fraction form
   123,020.25/269,017.50 = 269,017.50/x
3. Step 3: Cross multiply
   123,020.25x = 269,017.50 × 269,017.50
4. Step 4: Simplify right side
   123,020.25x = 72,370,415,306.25
5. Step 5: Solve for x
   x = 72,370,415,306.25/123,020.25
6. Step 6: Final answer
   x = 588,280.51