Finding the Third Proportional to 105,475 and 162,869

Step by Step Solution

1. Step 1: Write the proportion equation
   105,475 : 162,869 = 162,869 : x
2. Step 2: Convert to fraction form
   105,475/162,869 = 162,869/x
3. Step 3: Cross multiply
   105,475x = 162,869 × 162,869
4. Step 4: Simplify right side
   105,475x = 26,526,311,161
5. Step 5: Solve for x
   x = 26,526,311,161/105,475
6. Step 6: Final answer
   x = 251,493.82