Finding the Third Proportional to 103,691 and 226,144

Step by Step Solution

1. Step 1: Write the proportion equation
   103,691 : 226,144 = 226,144 : x
2. Step 2: Convert to fraction form
   103,691/226,144 = 226,144/x
3. Step 3: Cross multiply
   103,691x = 226,144 × 226,144
4. Step 4: Simplify right side
   103,691x = 51,141,108,736
5. Step 5: Solve for x
   x = 51,141,108,736/103,691
6. Step 6: Final answer
   x = 493,206.82