Finding the Third Proportional to 209,390 and 458,656

Step by Step Solution

1. Step 1: Write the proportion equation
   209,390 : 458,656 = 458,656 : x
2. Step 2: Convert to fraction form
   209,390/458,656 = 458,656/x
3. Step 3: Cross multiply
   209,390x = 458,656 × 458,656
4. Step 4: Simplify right side
   209,390x = 210,365,326,336
5. Step 5: Solve for x
   x = 210,365,326,336/209,390
6. Step 6: Final answer
   x = 1,004,657.94