Finding the Third Proportional to 103,176 and 225,144

Step by Step Solution

1. Step 1: Write the proportion equation
   103,176 : 225,144 = 225,144 : x
2. Step 2: Convert to fraction form
   103,176/225,144 = 225,144/x
3. Step 3: Cross multiply
   103,176x = 225,144 × 225,144
4. Step 4: Simplify right side
   103,176x = 50,689,820,736
5. Step 5: Solve for x
   x = 50,689,820,736/103,176
6. Step 6: Final answer
   x = 491,294.69