Finding the Third Proportional to 105,825 and 143,563.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,825 : 143,563.50 = 143,563.50 : x
2. Step 2: Convert to fraction form
   105,825/143,563.50 = 143,563.50/x
3. Step 3: Cross multiply
   105,825x = 143,563.50 × 143,563.50
4. Step 4: Simplify right side
   105,825x = 20,610,478,532.25
5. Step 5: Solve for x
   x = 20,610,478,532.25/105,825
6. Step 6: Final answer
   x = 194,760.01