Finding the Third Proportional to 127,128 and 279,150

Step by Step Solution

1. Step 1: Write the proportion equation
   127,128 : 279,150 = 279,150 : x
2. Step 2: Convert to fraction form
   127,128/279,150 = 279,150/x
3. Step 3: Cross multiply
   127,128x = 279,150 × 279,150
4. Step 4: Simplify right side
   127,128x = 77,924,722,500
5. Step 5: Solve for x
   x = 77,924,722,500/127,128
6. Step 6: Final answer
   x = 612,962.70