Finding the Third Proportional to 209,238 and 456,384

Step by Step Solution

1. Step 1: Write the proportion equation
   209,238 : 456,384 = 456,384 : x
2. Step 2: Convert to fraction form
   209,238/456,384 = 456,384/x
3. Step 3: Cross multiply
   209,238x = 456,384 × 456,384
4. Step 4: Simplify right side
   209,238x = 208,286,355,456
5. Step 5: Solve for x
   x = 208,286,355,456/209,238
6. Step 6: Final answer
   x = 995,451.86