Finding the Third Proportional to 105,473 and 162,866

Step by Step Solution

1. Step 1: Write the proportion equation
   105,473 : 162,866 = 162,866 : x
2. Step 2: Convert to fraction form
   105,473/162,866 = 162,866/x
3. Step 3: Cross multiply
   105,473x = 162,866 × 162,866
4. Step 4: Simplify right side
   105,473x = 26,525,333,956
5. Step 5: Solve for x
   x = 26,525,333,956/105,473
6. Step 6: Final answer
   x = 251,489.33