Finding the Third Proportional to 103,842 and 225,180

Step by Step Solution

1. Step 1: Write the proportion equation
   103,842 : 225,180 = 225,180 : x
2. Step 2: Convert to fraction form
   103,842/225,180 = 225,180/x
3. Step 3: Cross multiply
   103,842x = 225,180 × 225,180
4. Step 4: Simplify right side
   103,842x = 50,706,032,400
5. Step 5: Solve for x
   x = 50,706,032,400/103,842
6. Step 6: Final answer
   x = 488,299.84