Finding the Third Proportional to 94,957 and 205,142

Step by Step Solution

1. Step 1: Write the proportion equation
   94,957 : 205,142 = 205,142 : x
2. Step 2: Convert to fraction form
   94,957/205,142 = 205,142/x
3. Step 3: Cross multiply
   94,957x = 205,142 × 205,142
4. Step 4: Simplify right side
   94,957x = 42,083,240,164
5. Step 5: Solve for x
   x = 42,083,240,164/94,957
6. Step 6: Final answer
   x = 443,182.07