Finding the Third Proportional to 584,376 and 1,267,824

Step by Step Solution

1. Step 1: Write the proportion equation
   584,376 : 1,267,824 = 1,267,824 : x
2. Step 2: Convert to fraction form
   584,376/1,267,824 = 1,267,824/x
3. Step 3: Cross multiply
   584,376x = 1,267,824 × 1,267,824
4. Step 4: Simplify right side
   584,376x = 1,607,377,694,976
5. Step 5: Solve for x
   x = 1,607,377,694,976/584,376
6. Step 6: Final answer
   x = 2,750,588.14