Finding the Third Proportional to 105,158 and 150,231

Step by Step Solution

1. Step 1: Write the proportion equation
   105,158 : 150,231 = 150,231 : x
2. Step 2: Convert to fraction form
   105,158/150,231 = 150,231/x
3. Step 3: Cross multiply
   105,158x = 150,231 × 150,231
4. Step 4: Simplify right side
   105,158x = 22,569,353,361
5. Step 5: Solve for x
   x = 22,569,353,361/105,158
6. Step 6: Final answer
   x = 214,623.27