Finding the Third Proportional to 209,424 and 465,288

Step by Step Solution

1. Step 1: Write the proportion equation
   209,424 : 465,288 = 465,288 : x
2. Step 2: Convert to fraction form
   209,424/465,288 = 465,288/x
3. Step 3: Cross multiply
   209,424x = 465,288 × 465,288
4. Step 4: Simplify right side
   209,424x = 216,492,922,944
5. Step 5: Solve for x
   x = 216,492,922,944/209,424
6. Step 6: Final answer
   x = 1,033,754.12