Finding the Third Proportional to 103,676 and 162,665

Step by Step Solution

1. Step 1: Write the proportion equation
   103,676 : 162,665 = 162,665 : x
2. Step 2: Convert to fraction form
   103,676/162,665 = 162,665/x
3. Step 3: Cross multiply
   103,676x = 162,665 × 162,665
4. Step 4: Simplify right side
   103,676x = 26,459,902,225
5. Step 5: Solve for x
   x = 26,459,902,225/103,676
6. Step 6: Final answer
   x = 255,217.24