Finding the Third Proportional to 105,456 and 162,840

Step by Step Solution

1. Step 1: Write the proportion equation
   105,456 : 162,840 = 162,840 : x
2. Step 2: Convert to fraction form
   105,456/162,840 = 162,840/x
3. Step 3: Cross multiply
   105,456x = 162,840 × 162,840
4. Step 4: Simplify right side
   105,456x = 26,516,865,600
5. Step 5: Solve for x
   x = 26,516,865,600/105,456
6. Step 6: Final answer
   x = 251,449.57