Finding the Third Proportional to 208,768 and 279,648

Step by Step Solution

1. Step 1: Write the proportion equation
   208,768 : 279,648 = 279,648 : x
2. Step 2: Convert to fraction form
   208,768/279,648 = 279,648/x
3. Step 3: Cross multiply
   208,768x = 279,648 × 279,648
4. Step 4: Simplify right side
   208,768x = 78,203,003,904
5. Step 5: Solve for x
   x = 78,203,003,904/208,768
6. Step 6: Final answer
   x = 374,592.87