Finding the Third Proportional to 208,172 and 491,256

Step by Step Solution

1. Step 1: Write the proportion equation
   208,172 : 491,256 = 491,256 : x
2. Step 2: Convert to fraction form
   208,172/491,256 = 491,256/x
3. Step 3: Cross multiply
   208,172x = 491,256 × 491,256
4. Step 4: Simplify right side
   208,172x = 241,332,457,536
5. Step 5: Solve for x
   x = 241,332,457,536/208,172
6. Step 6: Final answer
   x = 1,159,293.55