Finding the Third Proportional to 109,786 and 236,215

Step by Step Solution

1. Step 1: Write the proportion equation
   109,786 : 236,215 = 236,215 : x
2. Step 2: Convert to fraction form
   109,786/236,215 = 236,215/x
3. Step 3: Cross multiply
   109,786x = 236,215 × 236,215
4. Step 4: Simplify right side
   109,786x = 55,797,526,225
5. Step 5: Solve for x
   x = 55,797,526,225/109,786
6. Step 6: Final answer
   x = 508,238.99