Finding the Third Proportional to 507,144 and 789,796

Step by Step Solution

1. Step 1: Write the proportion equation
   507,144 : 789,796 = 789,796 : x
2. Step 2: Convert to fraction form
   507,144/789,796 = 789,796/x
3. Step 3: Cross multiply
   507,144x = 789,796 × 789,796
4. Step 4: Simplify right side
   507,144x = 623,777,721,616
5. Step 5: Solve for x
   x = 623,777,721,616/507,144
6. Step 6: Final answer
   x = 1,229,981.47