Finding the Third Proportional to 65,162 and 100,735.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,162 : 100,735.50 = 100,735.50 : x
2. Step 2: Convert to fraction form
   65,162/100,735.50 = 100,735.50/x
3. Step 3: Cross multiply
   65,162x = 100,735.50 × 100,735.50
4. Step 4: Simplify right side
   65,162x = 10,147,640,960.25
5. Step 5: Solve for x
   x = 10,147,640,960.25/65,162
6. Step 6: Final answer
   x = 155,729.43