Finding the Third Proportional to 105,800 and 143,527.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,800 : 143,527.50 = 143,527.50 : x
2. Step 2: Convert to fraction form
   105,800/143,527.50 = 143,527.50/x
3. Step 3: Cross multiply
   105,800x = 143,527.50 × 143,527.50
4. Step 4: Simplify right side
   105,800x = 20,600,143,256.25
5. Step 5: Solve for x
   x = 20,600,143,256.25/105,800
6. Step 6: Final answer
   x = 194,708.35