Finding the Third Proportional to 123,720 and 269,520

Step by Step Solution

1. Step 1: Write the proportion equation
   123,720 : 269,520 = 269,520 : x
2. Step 2: Convert to fraction form
   123,720/269,520 = 269,520/x
3. Step 3: Cross multiply
   123,720x = 269,520 × 269,520
4. Step 4: Simplify right side
   123,720x = 72,641,030,400
5. Step 5: Solve for x
   x = 72,641,030,400/123,720
6. Step 6: Final answer
   x = 587,140.56