Finding the Third Proportional to 105,856 and 150,466.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,856 : 150,466.50 = 150,466.50 : x
2. Step 2: Convert to fraction form
   105,856/150,466.50 = 150,466.50/x
3. Step 3: Cross multiply
   105,856x = 150,466.50 × 150,466.50
4. Step 4: Simplify right side
   105,856x = 22,640,167,622.25
5. Step 5: Solve for x
   x = 22,640,167,622.25/105,856
6. Step 6: Final answer
   x = 213,877.04