Finding the Third Proportional to 209,072 and 458,176

Step by Step Solution

1. Step 1: Write the proportion equation
   209,072 : 458,176 = 458,176 : x
2. Step 2: Convert to fraction form
   209,072/458,176 = 458,176/x
3. Step 3: Cross multiply
   209,072x = 458,176 × 458,176
4. Step 4: Simplify right side
   209,072x = 209,925,246,976
5. Step 5: Solve for x
   x = 209,925,246,976/209,072
6. Step 6: Final answer
   x = 1,004,081.12