Finding the Third Proportional to 105,813 and 143,545.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,813 : 143,545.50 = 143,545.50 : x
2. Step 2: Convert to fraction form
   105,813/143,545.50 = 143,545.50/x
3. Step 3: Cross multiply
   105,813x = 143,545.50 × 143,545.50
4. Step 4: Simplify right side
   105,813x = 20,605,310,570.25
5. Step 5: Solve for x
   x = 20,605,310,570.25/105,813
6. Step 6: Final answer
   x = 194,733.26