Finding the Third Proportional to 109,780 and 236,204

Step by Step Solution

1. Step 1: Write the proportion equation
   109,780 : 236,204 = 236,204 : x
2. Step 2: Convert to fraction form
   109,780/236,204 = 236,204/x
3. Step 3: Cross multiply
   109,780x = 236,204 × 236,204
4. Step 4: Simplify right side
   109,780x = 55,792,329,616
5. Step 5: Solve for x
   x = 55,792,329,616/109,780
6. Step 6: Final answer
   x = 508,219.44