Finding the Third Proportional to 209,266 and 457,654

Step by Step Solution

1. Step 1: Write the proportion equation
   209,266 : 457,654 = 457,654 : x
2. Step 2: Convert to fraction form
   209,266/457,654 = 457,654/x
3. Step 3: Cross multiply
   209,266x = 457,654 × 457,654
4. Step 4: Simplify right side
   209,266x = 209,447,183,716
5. Step 5: Solve for x
   x = 209,447,183,716/209,266
6. Step 6: Final answer
   x = 1,000,865.81