Finding the Third Proportional to 99,162 and 159,630

Step by Step Solution

1. Step 1: Write the proportion equation
   99,162 : 159,630 = 159,630 : x
2. Step 2: Convert to fraction form
   99,162/159,630 = 159,630/x
3. Step 3: Cross multiply
   99,162x = 159,630 × 159,630
4. Step 4: Simplify right side
   99,162x = 25,481,736,900
5. Step 5: Solve for x
   x = 25,481,736,900/99,162
6. Step 6: Final answer
   x = 256,970.78