Finding the Third Proportional to 94,204 and 206,116

Step by Step Solution

1. Step 1: Write the proportion equation
   94,204 : 206,116 = 206,116 : x
2. Step 2: Convert to fraction form
   94,204/206,116 = 206,116/x
3. Step 3: Cross multiply
   94,204x = 206,116 × 206,116
4. Step 4: Simplify right side
   94,204x = 42,483,805,456
5. Step 5: Solve for x
   x = 42,483,805,456/94,204
6. Step 6: Final answer
   x = 450,976.66