Finding the Third Proportional to 199,002 and 308,142

Step by Step Solution

1. Step 1: Write the proportion equation
   199,002 : 308,142 = 308,142 : x
2. Step 2: Convert to fraction form
   199,002/308,142 = 308,142/x
3. Step 3: Cross multiply
   199,002x = 308,142 × 308,142
4. Step 4: Simplify right side
   199,002x = 94,951,492,164
5. Step 5: Solve for x
   x = 94,951,492,164/199,002
6. Step 6: Final answer
   x = 477,138.38