Finding the Third Proportional to 102,762 and 225,162

Step by Step Solution

1. Step 1: Write the proportion equation
   102,762 : 225,162 = 225,162 : x
2. Step 2: Convert to fraction form
   102,762/225,162 = 225,162/x
3. Step 3: Cross multiply
   102,762x = 225,162 × 225,162
4. Step 4: Simplify right side
   102,762x = 50,697,926,244
5. Step 5: Solve for x
   x = 50,697,926,244/102,762
6. Step 6: Final answer
   x = 493,352.86