Finding the Third Proportional to 105,823 and 143,560.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,823 : 143,560.50 = 143,560.50 : x
2. Step 2: Convert to fraction form
   105,823/143,560.50 = 143,560.50/x
3. Step 3: Cross multiply
   105,823x = 143,560.50 × 143,560.50
4. Step 4: Simplify right side
   105,823x = 20,609,617,160.25
5. Step 5: Solve for x
   x = 20,609,617,160.25/105,823
6. Step 6: Final answer
   x = 194,755.56