Finding the Third Proportional to 142,553.50 and 199,298

Step by Step Solution

1. Step 1: Write the proportion equation
   142,553.50 : 199,298 = 199,298 : x
2. Step 2: Convert to fraction form
   142,553.50/199,298 = 199,298/x
3. Step 3: Cross multiply
   142,553.50x = 199,298 × 199,298
4. Step 4: Simplify right side
   142,553.50x = 39,719,692,804
5. Step 5: Solve for x
   x = 39,719,692,804/142,553.50
6. Step 6: Final answer
   x = 278,630.08