Finding the Third Proportional to 584,267 and 874,065

Step by Step Solution

1. Step 1: Write the proportion equation
   584,267 : 874,065 = 874,065 : x
2. Step 2: Convert to fraction form
   584,267/874,065 = 874,065/x
3. Step 3: Cross multiply
   584,267x = 874,065 × 874,065
4. Step 4: Simplify right side
   584,267x = 763,989,624,225
5. Step 5: Solve for x
   x = 763,989,624,225/584,267
6. Step 6: Final answer
   x = 1,307,603.59