Finding the Third Proportional to 111,816 and 151,944

Step by Step Solution

1. Step 1: Write the proportion equation
   111,816 : 151,944 = 151,944 : x
2. Step 2: Convert to fraction form
   111,816/151,944 = 151,944/x
3. Step 3: Cross multiply
   111,816x = 151,944 × 151,944
4. Step 4: Simplify right side
   111,816x = 23,086,979,136
5. Step 5: Solve for x
   x = 23,086,979,136/111,816
6. Step 6: Final answer
   x = 206,472.95