Finding the Third Proportional to 127,776 and 268,792

Step by Step Solution

1. Step 1: Write the proportion equation
   127,776 : 268,792 = 268,792 : x
2. Step 2: Convert to fraction form
   127,776/268,792 = 268,792/x
3. Step 3: Cross multiply
   127,776x = 268,792 × 268,792
4. Step 4: Simplify right side
   127,776x = 72,249,139,264
5. Step 5: Solve for x
   x = 72,249,139,264/127,776
6. Step 6: Final answer
   x = 565,435.91