Finding the Third Proportional to 109,646 and 164,022

Step by Step Solution

1. Step 1: Write the proportion equation
   109,646 : 164,022 = 164,022 : x
2. Step 2: Convert to fraction form
   109,646/164,022 = 164,022/x
3. Step 3: Cross multiply
   109,646x = 164,022 × 164,022
4. Step 4: Simplify right side
   109,646x = 26,903,216,484
5. Step 5: Solve for x
   x = 26,903,216,484/109,646
6. Step 6: Final answer
   x = 245,364.32