Finding the Third Proportional to 142,414 and 191,708

Step by Step Solution

1. Step 1: Write the proportion equation
   142,414 : 191,708 = 191,708 : x
2. Step 2: Convert to fraction form
   142,414/191,708 = 191,708/x
3. Step 3: Cross multiply
   142,414x = 191,708 × 191,708
4. Step 4: Simplify right side
   142,414x = 36,751,957,264
5. Step 5: Solve for x
   x = 36,751,957,264/142,414
6. Step 6: Final answer
   x = 258,064.22