Finding the Third Proportional to 102,498.50 and 225,176

Step by Step Solution

1. Step 1: Write the proportion equation
   102,498.50 : 225,176 = 225,176 : x
2. Step 2: Convert to fraction form
   102,498.50/225,176 = 225,176/x
3. Step 3: Cross multiply
   102,498.50x = 225,176 × 225,176
4. Step 4: Simplify right side
   102,498.50x = 50,704,230,976
5. Step 5: Solve for x
   x = 50,704,230,976/102,498.50
6. Step 6: Final answer
   x = 494,682.66