Finding the Third Proportional to 459,254 and 724,096

Step by Step Solution

1. Step 1: Write the proportion equation
   459,254 : 724,096 = 724,096 : x
2. Step 2: Convert to fraction form
   459,254/724,096 = 724,096/x
3. Step 3: Cross multiply
   459,254x = 724,096 × 724,096
4. Step 4: Simplify right side
   459,254x = 524,315,017,216
5. Step 5: Solve for x
   x = 524,315,017,216/459,254
6. Step 6: Final answer
   x = 1,141,666.74