Finding the Third Proportional to 209,064 and 459,746

Step by Step Solution

1. Step 1: Write the proportion equation
   209,064 : 459,746 = 459,746 : x
2. Step 2: Convert to fraction form
   209,064/459,746 = 459,746/x
3. Step 3: Cross multiply
   209,064x = 459,746 × 459,746
4. Step 4: Simplify right side
   209,064x = 211,366,384,516
5. Step 5: Solve for x
   x = 211,366,384,516/209,064
6. Step 6: Final answer
   x = 1,011,012.82