Finding the Third Proportional to 146,288 and 196,104

Step by Step Solution

1. Step 1: Write the proportion equation
   146,288 : 196,104 = 196,104 : x
2. Step 2: Convert to fraction form
   146,288/196,104 = 196,104/x
3. Step 3: Cross multiply
   146,288x = 196,104 × 196,104
4. Step 4: Simplify right side
   146,288x = 38,456,778,816
5. Step 5: Solve for x
   x = 38,456,778,816/146,288
6. Step 6: Final answer
   x = 262,884.03