Finding the Third Proportional to 209,072 and 459,762

Step by Step Solution

1. Step 1: Write the proportion equation
   209,072 : 459,762 = 459,762 : x
2. Step 2: Convert to fraction form
   209,072/459,762 = 459,762/x
3. Step 3: Cross multiply
   209,072x = 459,762 × 459,762
4. Step 4: Simplify right side
   209,072x = 211,381,096,644
5. Step 5: Solve for x
   x = 211,381,096,644/209,072
6. Step 6: Final answer
   x = 1,011,044.50