Finding the Third Proportional to 109,780 and 236,496

Step by Step Solution

1. Step 1: Write the proportion equation
   109,780 : 236,496 = 236,496 : x
2. Step 2: Convert to fraction form
   109,780/236,496 = 236,496/x
3. Step 3: Cross multiply
   109,780x = 236,496 × 236,496
4. Step 4: Simplify right side
   109,780x = 55,930,358,016
5. Step 5: Solve for x
   x = 55,930,358,016/109,780
6. Step 6: Final answer
   x = 509,476.75