Finding the Third Proportional to 109,636 and 164,012

Step by Step Solution

1. Step 1: Write the proportion equation
   109,636 : 164,012 = 164,012 : x
2. Step 2: Convert to fraction form
   109,636/164,012 = 164,012/x
3. Step 3: Cross multiply
   109,636x = 164,012 × 164,012
4. Step 4: Simplify right side
   109,636x = 26,899,936,144
5. Step 5: Solve for x
   x = 26,899,936,144/109,636
6. Step 6: Final answer
   x = 245,356.78