Finding the Third Proportional to 65,734.50 and 143,626.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,734.50 : 143,626.50 = 143,626.50 : x
2. Step 2: Convert to fraction form
   65,734.50/143,626.50 = 143,626.50/x
3. Step 3: Cross multiply
   65,734.50x = 143,626.50 × 143,626.50
4. Step 4: Simplify right side
   65,734.50x = 20,628,571,502.25
5. Step 5: Solve for x
   x = 20,628,571,502.25/65,734.50
6. Step 6: Final answer
   x = 313,816.51