Finding the Third Proportional to 105,144 and 162,900

Step by Step Solution

1. Step 1: Write the proportion equation
   105,144 : 162,900 = 162,900 : x
2. Step 2: Convert to fraction form
   105,144/162,900 = 162,900/x
3. Step 3: Cross multiply
   105,144x = 162,900 × 162,900
4. Step 4: Simplify right side
   105,144x = 26,536,410,000
5. Step 5: Solve for x
   x = 26,536,410,000/105,144
6. Step 6: Final answer
   x = 252,381.59