Finding the Third Proportional to 261,916 and 562,064

Step by Step Solution

1. Step 1: Write the proportion equation
   261,916 : 562,064 = 562,064 : x
2. Step 2: Convert to fraction form
   261,916/562,064 = 562,064/x
3. Step 3: Cross multiply
   261,916x = 562,064 × 562,064
4. Step 4: Simplify right side
   261,916x = 315,915,940,096
5. Step 5: Solve for x
   x = 315,915,940,096/261,916
6. Step 6: Final answer
   x = 1,206,172.74