Finding the Third Proportional to 131,072 and 280,819

Step by Step Solution

1. Step 1: Write the proportion equation
   131,072 : 280,819 = 280,819 : x
2. Step 2: Convert to fraction form
   131,072/280,819 = 280,819/x
3. Step 3: Cross multiply
   131,072x = 280,819 × 280,819
4. Step 4: Simplify right side
   131,072x = 78,859,310,761
5. Step 5: Solve for x
   x = 78,859,310,761/131,072
6. Step 6: Final answer
   x = 601,648.79