Finding the Third Proportional to 105,866 and 150,480

Step by Step Solution

1. Step 1: Write the proportion equation
   105,866 : 150,480 = 150,480 : x
2. Step 2: Convert to fraction form
   105,866/150,480 = 150,480/x
3. Step 3: Cross multiply
   105,866x = 150,480 × 150,480
4. Step 4: Simplify right side
   105,866x = 22,644,230,400
5. Step 5: Solve for x
   x = 22,644,230,400/105,866
6. Step 6: Final answer
   x = 213,895.21