Finding the Third Proportional to 109,380 and 235,834

Step by Step Solution

1. Step 1: Write the proportion equation
   109,380 : 235,834 = 235,834 : x
2. Step 2: Convert to fraction form
   109,380/235,834 = 235,834/x
3. Step 3: Cross multiply
   109,380x = 235,834 × 235,834
4. Step 4: Simplify right side
   109,380x = 55,617,675,556
5. Step 5: Solve for x
   x = 55,617,675,556/109,380
6. Step 6: Final answer
   x = 508,481.22