Finding the Third Proportional to 142,564.50 and 199,309.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,564.50 : 199,309.50 = 199,309.50 : x
2. Step 2: Convert to fraction form
   142,564.50/199,309.50 = 199,309.50/x
3. Step 3: Cross multiply
   142,564.50x = 199,309.50 × 199,309.50
4. Step 4: Simplify right side
   142,564.50x = 39,724,276,790.25
5. Step 5: Solve for x
   x = 39,724,276,790.25/142,564.50
6. Step 6: Final answer
   x = 278,640.73