Finding the Third Proportional to 109,723 and 146,814

Step by Step Solution

1. Step 1: Write the proportion equation
   109,723 : 146,814 = 146,814 : x
2. Step 2: Convert to fraction form
   109,723/146,814 = 146,814/x
3. Step 3: Cross multiply
   109,723x = 146,814 × 146,814
4. Step 4: Simplify right side
   109,723x = 21,554,350,596
5. Step 5: Solve for x
   x = 21,554,350,596/109,723
6. Step 6: Final answer
   x = 196,443.32