Finding the Third Proportional to 142,659 and 217,795

Step by Step Solution

1. Step 1: Write the proportion equation
   142,659 : 217,795 = 217,795 : x
2. Step 2: Convert to fraction form
   142,659/217,795 = 217,795/x
3. Step 3: Cross multiply
   142,659x = 217,795 × 217,795
4. Step 4: Simplify right side
   142,659x = 47,434,662,025
5. Step 5: Solve for x
   x = 47,434,662,025/142,659
6. Step 6: Final answer
   x = 332,503.82