Finding the Third Proportional to 142,536 and 225,684

Step by Step Solution

1. Step 1: Write the proportion equation
   142,536 : 225,684 = 225,684 : x
2. Step 2: Convert to fraction form
   142,536/225,684 = 225,684/x
3. Step 3: Cross multiply
   142,536x = 225,684 × 225,684
4. Step 4: Simplify right side
   142,536x = 50,933,267,856
5. Step 5: Solve for x
   x = 50,933,267,856/142,536
6. Step 6: Final answer
   x = 357,336.17