Finding the Third Proportional to 320,880 and 508,538

Step by Step Solution

1. Step 1: Write the proportion equation
   320,880 : 508,538 = 508,538 : x
2. Step 2: Convert to fraction form
   320,880/508,538 = 508,538/x
3. Step 3: Cross multiply
   320,880x = 508,538 × 508,538
4. Step 4: Simplify right side
   320,880x = 258,610,897,444
5. Step 5: Solve for x
   x = 258,610,897,444/320,880
6. Step 6: Final answer
   x = 805,942.71