Finding the Third Proportional to 142,726 and 192,250

Step by Step Solution

1. Step 1: Write the proportion equation
   142,726 : 192,250 = 192,250 : x
2. Step 2: Convert to fraction form
   142,726/192,250 = 192,250/x
3. Step 3: Cross multiply
   142,726x = 192,250 × 192,250
4. Step 4: Simplify right side
   142,726x = 36,960,062,500
5. Step 5: Solve for x
   x = 36,960,062,500/142,726
6. Step 6: Final answer
   x = 258,958.16