Finding the Third Proportional to 103,674 and 226,105

Step by Step Solution

1. Step 1: Write the proportion equation
   103,674 : 226,105 = 226,105 : x
2. Step 2: Convert to fraction form
   103,674/226,105 = 226,105/x
3. Step 3: Cross multiply
   103,674x = 226,105 × 226,105
4. Step 4: Simplify right side
   103,674x = 51,123,471,025
5. Step 5: Solve for x
   x = 51,123,471,025/103,674
6. Step 6: Final answer
   x = 493,117.57