Finding the Third Proportional to 109,606 and 236,684

Step by Step Solution

1. Step 1: Write the proportion equation
   109,606 : 236,684 = 236,684 : x
2. Step 2: Convert to fraction form
   109,606/236,684 = 236,684/x
3. Step 3: Cross multiply
   109,606x = 236,684 × 236,684
4. Step 4: Simplify right side
   109,606x = 56,019,315,856
5. Step 5: Solve for x
   x = 56,019,315,856/109,606
6. Step 6: Final answer
   x = 511,097.16