Finding the Third Proportional to 92,142 and 200,959

Step by Step Solution

1. Step 1: Write the proportion equation
   92,142 : 200,959 = 200,959 : x
2. Step 2: Convert to fraction form
   92,142/200,959 = 200,959/x
3. Step 3: Cross multiply
   92,142x = 200,959 × 200,959
4. Step 4: Simplify right side
   92,142x = 40,384,519,681
5. Step 5: Solve for x
   x = 40,384,519,681/92,142
6. Step 6: Final answer
   x = 438,285.69