Finding the Third Proportional to 127,006 and 279,928

Step by Step Solution

1. Step 1: Write the proportion equation
   127,006 : 279,928 = 279,928 : x
2. Step 2: Convert to fraction form
   127,006/279,928 = 279,928/x
3. Step 3: Cross multiply
   127,006x = 279,928 × 279,928
4. Step 4: Simplify right side
   127,006x = 78,359,685,184
5. Step 5: Solve for x
   x = 78,359,685,184/127,006
6. Step 6: Final answer
   x = 616,976.25