Finding the Third Proportional to 209,038 and 459,694

Step by Step Solution

1. Step 1: Write the proportion equation
   209,038 : 459,694 = 459,694 : x
2. Step 2: Convert to fraction form
   209,038/459,694 = 459,694/x
3. Step 3: Cross multiply
   209,038x = 459,694 × 459,694
4. Step 4: Simplify right side
   209,038x = 211,318,573,636
5. Step 5: Solve for x
   x = 211,318,573,636/209,038
6. Step 6: Final answer
   x = 1,010,909.85