Finding the Third Proportional to 309,973 and 657,144

Step by Step Solution

1. Step 1: Write the proportion equation
   309,973 : 657,144 = 657,144 : x
2. Step 2: Convert to fraction form
   309,973/657,144 = 657,144/x
3. Step 3: Cross multiply
   309,973x = 657,144 × 657,144
4. Step 4: Simplify right side
   309,973x = 431,838,236,736
5. Step 5: Solve for x
   x = 431,838,236,736/309,973
6. Step 6: Final answer
   x = 1,393,147.91