Finding the Third Proportional to 295,894 and 647,144

Step by Step Solution

1. Step 1: Write the proportion equation
   295,894 : 647,144 = 647,144 : x
2. Step 2: Convert to fraction form
   295,894/647,144 = 647,144/x
3. Step 3: Cross multiply
   295,894x = 647,144 × 647,144
4. Step 4: Simplify right side
   295,894x = 418,795,356,736
5. Step 5: Solve for x
   x = 418,795,356,736/295,894
6. Step 6: Final answer
   x = 1,415,356.03