Finding the Third Proportional to 105,262 and 162,949

Step by Step Solution

1. Step 1: Write the proportion equation
   105,262 : 162,949 = 162,949 : x
2. Step 2: Convert to fraction form
   105,262/162,949 = 162,949/x
3. Step 3: Cross multiply
   105,262x = 162,949 × 162,949
4. Step 4: Simplify right side
   105,262x = 26,552,376,601
5. Step 5: Solve for x
   x = 26,552,376,601/105,262
6. Step 6: Final answer
   x = 252,250.35