Finding the Third Proportional to 103,678 and 279,290

Step by Step Solution

1. Step 1: Write the proportion equation
   103,678 : 279,290 = 279,290 : x
2. Step 2: Convert to fraction form
   103,678/279,290 = 279,290/x
3. Step 3: Cross multiply
   103,678x = 279,290 × 279,290
4. Step 4: Simplify right side
   103,678x = 78,002,904,100
5. Step 5: Solve for x
   x = 78,002,904,100/103,678
6. Step 6: Final answer
   x = 752,357.34