Finding the Third Proportional to 127,644 and 265,792

Step by Step Solution

1. Step 1: Write the proportion equation
   127,644 : 265,792 = 265,792 : x
2. Step 2: Convert to fraction form
   127,644/265,792 = 265,792/x
3. Step 3: Cross multiply
   127,644x = 265,792 × 265,792
4. Step 4: Simplify right side
   127,644x = 70,645,387,264
5. Step 5: Solve for x
   x = 70,645,387,264/127,644
6. Step 6: Final answer
   x = 553,456.39