Finding the Third Proportional to 65,829.75 and 142,007.25

Step by Step Solution

1. Step 1: Write the proportion equation
   65,829.75 : 142,007.25 = 142,007.25 : x
2. Step 2: Convert to fraction form
   65,829.75/142,007.25 = 142,007.25/x
3. Step 3: Cross multiply
   65,829.75x = 142,007.25 × 142,007.25
4. Step 4: Simplify right side
   65,829.75x = 20,166,059,052.56
5. Step 5: Solve for x
   x = 20,166,059,052.56/65,829.75
6. Step 6: Final answer
   x = 306,336.56