Finding the Third Proportional to 105,185 and 225,124

Step by Step Solution

1. Step 1: Write the proportion equation
   105,185 : 225,124 = 225,124 : x
2. Step 2: Convert to fraction form
   105,185/225,124 = 225,124/x
3. Step 3: Cross multiply
   105,185x = 225,124 × 225,124
4. Step 4: Simplify right side
   105,185x = 50,680,815,376
5. Step 5: Solve for x
   x = 50,680,815,376/105,185
6. Step 6: Final answer
   x = 481,825.50