Finding the Third Proportional to 328,128 and 501,792

Step by Step Solution

1. Step 1: Write the proportion equation
   328,128 : 501,792 = 501,792 : x
2. Step 2: Convert to fraction form
   328,128/501,792 = 501,792/x
3. Step 3: Cross multiply
   328,128x = 501,792 × 501,792
4. Step 4: Simplify right side
   328,128x = 251,795,211,264
5. Step 5: Solve for x
   x = 251,795,211,264/328,128
6. Step 6: Final answer
   x = 767,368.87