Finding the Third Proportional to 314,064 and 644,760

Step by Step Solution

1. Step 1: Write the proportion equation
   314,064 : 644,760 = 644,760 : x
2. Step 2: Convert to fraction form
   314,064/644,760 = 644,760/x
3. Step 3: Cross multiply
   314,064x = 644,760 × 644,760
4. Step 4: Simplify right side
   314,064x = 415,715,457,600
5. Step 5: Solve for x
   x = 415,715,457,600/314,064
6. Step 6: Final answer
   x = 1,323,664.79