Finding the Third Proportional to 105,184 and 226,406

Step by Step Solution

1. Step 1: Write the proportion equation
   105,184 : 226,406 = 226,406 : x
2. Step 2: Convert to fraction form
   105,184/226,406 = 226,406/x
3. Step 3: Cross multiply
   105,184x = 226,406 × 226,406
4. Step 4: Simplify right side
   105,184x = 51,259,676,836
5. Step 5: Solve for x
   x = 51,259,676,836/105,184
6. Step 6: Final answer
   x = 487,333.40