Finding the Third Proportional to 105,172 and 162,942

Step by Step Solution

1. Step 1: Write the proportion equation
   105,172 : 162,942 = 162,942 : x
2. Step 2: Convert to fraction form
   105,172/162,942 = 162,942/x
3. Step 3: Cross multiply
   105,172x = 162,942 × 162,942
4. Step 4: Simplify right side
   105,172x = 26,550,095,364
5. Step 5: Solve for x
   x = 26,550,095,364/105,172
6. Step 6: Final answer
   x = 252,444.52