Finding the Third Proportional to 127,002 and 279,072

Step by Step Solution

1. Step 1: Write the proportion equation
   127,002 : 279,072 = 279,072 : x
2. Step 2: Convert to fraction form
   127,002/279,072 = 279,072/x
3. Step 3: Cross multiply
   127,002x = 279,072 × 279,072
4. Step 4: Simplify right side
   127,002x = 77,881,181,184
5. Step 5: Solve for x
   x = 77,881,181,184/127,002
6. Step 6: Final answer
   x = 613,227.99