Finding the Third Proportional to 95,172 and 142,512

Step by Step Solution

1. Step 1: Write the proportion equation
   95,172 : 142,512 = 142,512 : x
2. Step 2: Convert to fraction form
   95,172/142,512 = 142,512/x
3. Step 3: Cross multiply
   95,172x = 142,512 × 142,512
4. Step 4: Simplify right side
   95,172x = 20,309,670,144
5. Step 5: Solve for x
   x = 20,309,670,144/95,172
6. Step 6: Final answer
   x = 213,399.64