Finding the Third Proportional to 207,744 and 459,082

Step by Step Solution

1. Step 1: Write the proportion equation
   207,744 : 459,082 = 459,082 : x
2. Step 2: Convert to fraction form
   207,744/459,082 = 459,082/x
3. Step 3: Cross multiply
   207,744x = 459,082 × 459,082
4. Step 4: Simplify right side
   207,744x = 210,756,282,724
5. Step 5: Solve for x
   x = 210,756,282,724/207,744
6. Step 6: Final answer
   x = 1,014,499.97