Finding the Third Proportional to 158,790 and 225,706.50

Step by Step Solution

1. Step 1: Write the proportion equation
   158,790 : 225,706.50 = 225,706.50 : x
2. Step 2: Convert to fraction form
   158,790/225,706.50 = 225,706.50/x
3. Step 3: Cross multiply
   158,790x = 225,706.50 × 225,706.50
4. Step 4: Simplify right side
   158,790x = 50,943,424,142.25
5. Step 5: Solve for x
   x = 50,943,424,142.25/158,790
6. Step 6: Final answer
   x = 320,822.62