Finding the Third Proportional to 92,494 and 199,016

Step by Step Solution

1. Step 1: Write the proportion equation
   92,494 : 199,016 = 199,016 : x
2. Step 2: Convert to fraction form
   92,494/199,016 = 199,016/x
3. Step 3: Cross multiply
   92,494x = 199,016 × 199,016
4. Step 4: Simplify right side
   92,494x = 39,607,368,256
5. Step 5: Solve for x
   x = 39,607,368,256/92,494
6. Step 6: Final answer
   x = 428,215.54