Finding the Third Proportional to 209,012 and 457,288

Step by Step Solution

1. Step 1: Write the proportion equation
   209,012 : 457,288 = 457,288 : x
2. Step 2: Convert to fraction form
   209,012/457,288 = 457,288/x
3. Step 3: Cross multiply
   209,012x = 457,288 × 457,288
4. Step 4: Simplify right side
   209,012x = 209,112,314,944
5. Step 5: Solve for x
   x = 209,112,314,944/209,012
6. Step 6: Final answer
   x = 1,000,479.95