Finding the Third Proportional to 111,121 and 146,722

Step by Step Solution

1. Step 1: Write the proportion equation
   111,121 : 146,722 = 146,722 : x
2. Step 2: Convert to fraction form
   111,121/146,722 = 146,722/x
3. Step 3: Cross multiply
   111,121x = 146,722 × 146,722
4. Step 4: Simplify right side
   111,121x = 21,527,345,284
5. Step 5: Solve for x
   x = 21,527,345,284/111,121
6. Step 6: Final answer
   x = 193,728.87