Finding the Third Proportional to 105,859 and 150,471

Step by Step Solution

1. Step 1: Write the proportion equation
   105,859 : 150,471 = 150,471 : x
2. Step 2: Convert to fraction form
   105,859/150,471 = 150,471/x
3. Step 3: Cross multiply
   105,859x = 150,471 × 150,471
4. Step 4: Simplify right side
   105,859x = 22,641,521,841
5. Step 5: Solve for x
   x = 22,641,521,841/105,859
6. Step 6: Final answer
   x = 213,883.77