Finding the Third Proportional to 127,020 and 274,128

Step by Step Solution

1. Step 1: Write the proportion equation
   127,020 : 274,128 = 274,128 : x
2. Step 2: Convert to fraction form
   127,020/274,128 = 274,128/x
3. Step 3: Cross multiply
   127,020x = 274,128 × 274,128
4. Step 4: Simplify right side
   127,020x = 75,146,160,384
5. Step 5: Solve for x
   x = 75,146,160,384/127,020
6. Step 6: Final answer
   x = 591,608.88