Finding the Third Proportional to 103,037 and 217,142

Step by Step Solution

1. Step 1: Write the proportion equation
   103,037 : 217,142 = 217,142 : x
2. Step 2: Convert to fraction form
   103,037/217,142 = 217,142/x
3. Step 3: Cross multiply
   103,037x = 217,142 × 217,142
4. Step 4: Simplify right side
   103,037x = 47,150,648,164
5. Step 5: Solve for x
   x = 47,150,648,164/103,037
6. Step 6: Final answer
   x = 457,608.90