Finding the Third Proportional to 36,504 and 78,834

Step by Step Solution

1. Step 1: Write the proportion equation
   36,504 : 78,834 = 78,834 : x
2. Step 2: Convert to fraction form
   36,504/78,834 = 78,834/x
3. Step 3: Cross multiply
   36,504x = 78,834 × 78,834
4. Step 4: Simplify right side
   36,504x = 6,214,799,556
5. Step 5: Solve for x
   x = 6,214,799,556/36,504
6. Step 6: Final answer
   x = 170,249.82