Finding the Third Proportional to 111,974 and 164,692

Step by Step Solution

1. Step 1: Write the proportion equation
   111,974 : 164,692 = 164,692 : x
2. Step 2: Convert to fraction form
   111,974/164,692 = 164,692/x
3. Step 3: Cross multiply
   111,974x = 164,692 × 164,692
4. Step 4: Simplify right side
   111,974x = 27,123,454,864
5. Step 5: Solve for x
   x = 27,123,454,864/111,974
6. Step 6: Final answer
   x = 242,229.94