Finding the Third Proportional to 202,966 and 459,054

Step by Step Solution

1. Step 1: Write the proportion equation
   202,966 : 459,054 = 459,054 : x
2. Step 2: Convert to fraction form
   202,966/459,054 = 459,054/x
3. Step 3: Cross multiply
   202,966x = 459,054 × 459,054
4. Step 4: Simplify right side
   202,966x = 210,730,574,916
5. Step 5: Solve for x
   x = 210,730,574,916/202,966
6. Step 6: Final answer
   x = 1,038,255.54