Finding the Third Proportional to 142,735.50 and 199,563

Step by Step Solution

1. Step 1: Write the proportion equation
   142,735.50 : 199,563 = 199,563 : x
2. Step 2: Convert to fraction form
   142,735.50/199,563 = 199,563/x
3. Step 3: Cross multiply
   142,735.50x = 199,563 × 199,563
4. Step 4: Simplify right side
   142,735.50x = 39,825,390,969
5. Step 5: Solve for x
   x = 39,825,390,969/142,735.50
6. Step 6: Final answer
   x = 279,015.32