Finding the Third Proportional to 99,837 and 150,162

Step by Step Solution

1. Step 1: Write the proportion equation
   99,837 : 150,162 = 150,162 : x
2. Step 2: Convert to fraction form
   99,837/150,162 = 150,162/x
3. Step 3: Cross multiply
   99,837x = 150,162 × 150,162
4. Step 4: Simplify right side
   99,837x = 22,548,626,244
5. Step 5: Solve for x
   x = 22,548,626,244/99,837
6. Step 6: Final answer
   x = 225,854.41