Finding the Third Proportional to 270,144 and 581,792

Step by Step Solution

1. Step 1: Write the proportion equation
   270,144 : 581,792 = 581,792 : x
2. Step 2: Convert to fraction form
   270,144/581,792 = 581,792/x
3. Step 3: Cross multiply
   270,144x = 581,792 × 581,792
4. Step 4: Simplify right side
   270,144x = 338,481,931,264
5. Step 5: Solve for x
   x = 338,481,931,264/270,144
6. Step 6: Final answer
   x = 1,252,968.53