Finding the Third Proportional to 429,017 and 641,256

Step by Step Solution

1. Step 1: Write the proportion equation
   429,017 : 641,256 = 641,256 : x
2. Step 2: Convert to fraction form
   429,017/641,256 = 641,256/x
3. Step 3: Cross multiply
   429,017x = 641,256 × 641,256
4. Step 4: Simplify right side
   429,017x = 411,209,257,536
5. Step 5: Solve for x
   x = 411,209,257,536/429,017
6. Step 6: Final answer
   x = 958,491.76