Finding the Third Proportional to 120,784 and 164,022

Step by Step Solution

1. Step 1: Write the proportion equation
   120,784 : 164,022 = 164,022 : x
2. Step 2: Convert to fraction form
   120,784/164,022 = 164,022/x
3. Step 3: Cross multiply
   120,784x = 164,022 × 164,022
4. Step 4: Simplify right side
   120,784x = 26,903,216,484
5. Step 5: Solve for x
   x = 26,903,216,484/120,784
6. Step 6: Final answer
   x = 222,738.25