Finding the Third Proportional to 127,128 and 274,076

Step by Step Solution

1. Step 1: Write the proportion equation
   127,128 : 274,076 = 274,076 : x
2. Step 2: Convert to fraction form
   127,128/274,076 = 274,076/x
3. Step 3: Cross multiply
   127,128x = 274,076 × 274,076
4. Step 4: Simplify right side
   127,128x = 75,117,653,776
5. Step 5: Solve for x
   x = 75,117,653,776/127,128
6. Step 6: Final answer
   x = 590,882.05