Finding the Third Proportional to 102,964.50 and 225,612

Step by Step Solution

1. Step 1: Write the proportion equation
   102,964.50 : 225,612 = 225,612 : x
2. Step 2: Convert to fraction form
   102,964.50/225,612 = 225,612/x
3. Step 3: Cross multiply
   102,964.50x = 225,612 × 225,612
4. Step 4: Simplify right side
   102,964.50x = 50,900,774,544
5. Step 5: Solve for x
   x = 50,900,774,544/102,964.50
6. Step 6: Final answer
   x = 494,352.66