Finding the Third Proportional to 109,728 and 146,821

Step by Step Solution

1. Step 1: Write the proportion equation
   109,728 : 146,821 = 146,821 : x
2. Step 2: Convert to fraction form
   109,728/146,821 = 146,821/x
3. Step 3: Cross multiply
   109,728x = 146,821 × 146,821
4. Step 4: Simplify right side
   109,728x = 21,556,406,041
5. Step 5: Solve for x
   x = 21,556,406,041/109,728
6. Step 6: Final answer
   x = 196,453.10