Finding the Third Proportional to 142,640.25 and 199,410

Step by Step Solution

1. Step 1: Write the proportion equation
   142,640.25 : 199,410 = 199,410 : x
2. Step 2: Convert to fraction form
   142,640.25/199,410 = 199,410/x
3. Step 3: Cross multiply
   142,640.25x = 199,410 × 199,410
4. Step 4: Simplify right side
   142,640.25x = 39,764,348,100
5. Step 5: Solve for x
   x = 39,764,348,100/142,640.25
6. Step 6: Final answer
   x = 278,773.68