Finding the Third Proportional to 103,638 and 131,469

Step by Step Solution

1. Step 1: Write the proportion equation
   103,638 : 131,469 = 131,469 : x
2. Step 2: Convert to fraction form
   103,638/131,469 = 131,469/x
3. Step 3: Cross multiply
   103,638x = 131,469 × 131,469
4. Step 4: Simplify right side
   103,638x = 17,284,097,961
5. Step 5: Solve for x
   x = 17,284,097,961/103,638
6. Step 6: Final answer
   x = 166,773.75