Finding the Third Proportional to 109,857 and 236,274

Step by Step Solution

1. Step 1: Write the proportion equation
   109,857 : 236,274 = 236,274 : x
2. Step 2: Convert to fraction form
   109,857/236,274 = 236,274/x
3. Step 3: Cross multiply
   109,857x = 236,274 × 236,274
4. Step 4: Simplify right side
   109,857x = 55,825,403,076
5. Step 5: Solve for x
   x = 55,825,403,076/109,857
6. Step 6: Final answer
   x = 508,164.28