Finding the Third Proportional to 94,618 and 206,036

Step by Step Solution

1. Step 1: Write the proportion equation
   94,618 : 206,036 = 206,036 : x
2. Step 2: Convert to fraction form
   94,618/206,036 = 206,036/x
3. Step 3: Cross multiply
   94,618x = 206,036 × 206,036
4. Step 4: Simplify right side
   94,618x = 42,450,833,296
5. Step 5: Solve for x
   x = 42,450,833,296/94,618
6. Step 6: Final answer
   x = 448,654.94