Finding the Third Proportional to 208,456 and 322,892

Step by Step Solution

1. Step 1: Write the proportion equation
   208,456 : 322,892 = 322,892 : x
2. Step 2: Convert to fraction form
   208,456/322,892 = 322,892/x
3. Step 3: Cross multiply
   208,456x = 322,892 × 322,892
4. Step 4: Simplify right side
   208,456x = 104,259,243,664
5. Step 5: Solve for x
   x = 104,259,243,664/208,456
6. Step 6: Final answer
   x = 500,149.88