Finding the Third Proportional to 109,786 and 236,508

Step by Step Solution

1. Step 1: Write the proportion equation
   109,786 : 236,508 = 236,508 : x
2. Step 2: Convert to fraction form
   109,786/236,508 = 236,508/x
3. Step 3: Cross multiply
   109,786x = 236,508 × 236,508
4. Step 4: Simplify right side
   109,786x = 55,936,034,064
5. Step 5: Solve for x
   x = 55,936,034,064/109,786
6. Step 6: Final answer
   x = 509,500.61