Finding the Third Proportional to 92,142 and 200,958

Step by Step Solution

1. Step 1: Write the proportion equation
   92,142 : 200,958 = 200,958 : x
2. Step 2: Convert to fraction form
   92,142/200,958 = 200,958/x
3. Step 3: Cross multiply
   92,142x = 200,958 × 200,958
4. Step 4: Simplify right side
   92,142x = 40,384,117,764
5. Step 5: Solve for x
   x = 40,384,117,764/92,142
6. Step 6: Final answer
   x = 438,281.32