Finding the Third Proportional to 109,784 and 236,504

Step by Step Solution

1. Step 1: Write the proportion equation
   109,784 : 236,504 = 236,504 : x
2. Step 2: Convert to fraction form
   109,784/236,504 = 236,504/x
3. Step 3: Cross multiply
   109,784x = 236,504 × 236,504
4. Step 4: Simplify right side
   109,784x = 55,934,142,016
5. Step 5: Solve for x
   x = 55,934,142,016/109,784
6. Step 6: Final answer
   x = 509,492.66