Finding the Third Proportional to 501,644 and 777,066

Step by Step Solution

1. Step 1: Write the proportion equation
   501,644 : 777,066 = 777,066 : x
2. Step 2: Convert to fraction form
   501,644/777,066 = 777,066/x
3. Step 3: Cross multiply
   501,644x = 777,066 × 777,066
4. Step 4: Simplify right side
   501,644x = 603,831,568,356
5. Step 5: Solve for x
   x = 603,831,568,356/501,644
6. Step 6: Final answer
   x = 1,203,705.35