Finding the Third Proportional to 426,384 and 585,792

Step by Step Solution

1. Step 1: Write the proportion equation
   426,384 : 585,792 = 585,792 : x
2. Step 2: Convert to fraction form
   426,384/585,792 = 585,792/x
3. Step 3: Cross multiply
   426,384x = 585,792 × 585,792
4. Step 4: Simplify right side
   426,384x = 343,152,267,264
5. Step 5: Solve for x
   x = 343,152,267,264/426,384
6. Step 6: Final answer
   x = 804,796.30