Finding the Third Proportional to 301,144 and 654,774

Step by Step Solution

1. Step 1: Write the proportion equation
   301,144 : 654,774 = 654,774 : x
2. Step 2: Convert to fraction form
   301,144/654,774 = 654,774/x
3. Step 3: Cross multiply
   301,144x = 654,774 × 654,774
4. Step 4: Simplify right side
   301,144x = 428,728,991,076
5. Step 5: Solve for x
   x = 428,728,991,076/301,144
6. Step 6: Final answer
   x = 1,423,667.72