Finding the Third Proportional to 209,028 and 457,320

Step by Step Solution

1. Step 1: Write the proportion equation
   209,028 : 457,320 = 457,320 : x
2. Step 2: Convert to fraction form
   209,028/457,320 = 457,320/x
3. Step 3: Cross multiply
   209,028x = 457,320 × 457,320
4. Step 4: Simplify right side
   209,028x = 209,141,582,400
5. Step 5: Solve for x
   x = 209,141,582,400/209,028
6. Step 6: Final answer
   x = 1,000,543.38