Finding the Third Proportional to 321,426 and 508,529.25

Step by Step Solution

1. Step 1: Write the proportion equation
   321,426 : 508,529.25 = 508,529.25 : x
2. Step 2: Convert to fraction form
   321,426/508,529.25 = 508,529.25/x
3. Step 3: Cross multiply
   321,426x = 508,529.25 × 508,529.25
4. Step 4: Simplify right side
   321,426x = 258,601,998,105.56
5. Step 5: Solve for x
   x = 258,601,998,105.56/321,426
6. Step 6: Final answer
   x = 804,545.99