Finding the Third Proportional to 105,424 and 162,792

Step by Step Solution

1. Step 1: Write the proportion equation
   105,424 : 162,792 = 162,792 : x
2. Step 2: Convert to fraction form
   105,424/162,792 = 162,792/x
3. Step 3: Cross multiply
   105,424x = 162,792 × 162,792
4. Step 4: Simplify right side
   105,424x = 26,501,235,264
5. Step 5: Solve for x
   x = 26,501,235,264/105,424
6. Step 6: Final answer
   x = 251,377.63