Finding the Third Proportional to 119,666 and 243,256

Step by Step Solution

1. Step 1: Write the proportion equation
   119,666 : 243,256 = 243,256 : x
2. Step 2: Convert to fraction form
   119,666/243,256 = 243,256/x
3. Step 3: Cross multiply
   119,666x = 243,256 × 243,256
4. Step 4: Simplify right side
   119,666x = 59,173,481,536
5. Step 5: Solve for x
   x = 59,173,481,536/119,666
6. Step 6: Final answer
   x = 494,488.67