Finding the Third Proportional to 102,175.50 and 222,744

Step by Step Solution

1. Step 1: Write the proportion equation
   102,175.50 : 222,744 = 222,744 : x
2. Step 2: Convert to fraction form
   102,175.50/222,744 = 222,744/x
3. Step 3: Cross multiply
   102,175.50x = 222,744 × 222,744
4. Step 4: Simplify right side
   102,175.50x = 49,614,889,536
5. Step 5: Solve for x
   x = 49,614,889,536/102,175.50
6. Step 6: Final answer
   x = 485,584.99