Finding the Third Proportional to 106,804 and 150,238

Step by Step Solution

1. Step 1: Write the proportion equation
   106,804 : 150,238 = 150,238 : x
2. Step 2: Convert to fraction form
   106,804/150,238 = 150,238/x
3. Step 3: Cross multiply
   106,804x = 150,238 × 150,238
4. Step 4: Simplify right side
   106,804x = 22,571,456,644
5. Step 5: Solve for x
   x = 22,571,456,644/106,804
6. Step 6: Final answer
   x = 211,335.31