Finding the Third Proportional to 109,109 and 164,636

Step by Step Solution

1. Step 1: Write the proportion equation
   109,109 : 164,636 = 164,636 : x
2. Step 2: Convert to fraction form
   109,109/164,636 = 164,636/x
3. Step 3: Cross multiply
   109,109x = 164,636 × 164,636
4. Step 4: Simplify right side
   109,109x = 27,105,012,496
5. Step 5: Solve for x
   x = 27,105,012,496/109,109
6. Step 6: Final answer
   x = 248,421.42