Finding the Third Proportional to 65,206.50 and 150,966

Step by Step Solution

1. Step 1: Write the proportion equation
   65,206.50 : 150,966 = 150,966 : x
2. Step 2: Convert to fraction form
   65,206.50/150,966 = 150,966/x
3. Step 3: Cross multiply
   65,206.50x = 150,966 × 150,966
4. Step 4: Simplify right side
   65,206.50x = 22,790,733,156
5. Step 5: Solve for x
   x = 22,790,733,156/65,206.50
6. Step 6: Final answer
   x = 349,516.28