Finding the Third Proportional to 105,383 and 225,522

Step by Step Solution

1. Step 1: Write the proportion equation
   105,383 : 225,522 = 225,522 : x
2. Step 2: Convert to fraction form
   105,383/225,522 = 225,522/x
3. Step 3: Cross multiply
   105,383x = 225,522 × 225,522
4. Step 4: Simplify right side
   105,383x = 50,860,172,484
5. Step 5: Solve for x
   x = 50,860,172,484/105,383
6. Step 6: Final answer
   x = 482,622.17