Finding the Third Proportional to 95,823 and 150,012

Step by Step Solution

1. Step 1: Write the proportion equation
   95,823 : 150,012 = 150,012 : x
2. Step 2: Convert to fraction form
   95,823/150,012 = 150,012/x
3. Step 3: Cross multiply
   95,823x = 150,012 × 150,012
4. Step 4: Simplify right side
   95,823x = 22,503,600,144
5. Step 5: Solve for x
   x = 22,503,600,144/95,823
6. Step 6: Final answer
   x = 234,845.50