Finding the Third Proportional to 105,802 and 143,530.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,802 : 143,530.50 = 143,530.50 : x
2. Step 2: Convert to fraction form
   105,802/143,530.50 = 143,530.50/x
3. Step 3: Cross multiply
   105,802x = 143,530.50 × 143,530.50
4. Step 4: Simplify right side
   105,802x = 20,601,004,430.25
5. Step 5: Solve for x
   x = 20,601,004,430.25/105,802
6. Step 6: Final answer
   x = 194,712.81