Finding the Third Proportional to 105,208 and 225,188

Step by Step Solution

1. Step 1: Write the proportion equation
   105,208 : 225,188 = 225,188 : x
2. Step 2: Convert to fraction form
   105,208/225,188 = 225,188/x
3. Step 3: Cross multiply
   105,208x = 225,188 × 225,188
4. Step 4: Simplify right side
   105,208x = 50,709,635,344
5. Step 5: Solve for x
   x = 50,709,635,344/105,208
6. Step 6: Final answer
   x = 481,994.10