Finding the Third Proportional to 71,238 and 102,667

Step by Step Solution

1. Step 1: Write the proportion equation
   71,238 : 102,667 = 102,667 : x
2. Step 2: Convert to fraction form
   71,238/102,667 = 102,667/x
3. Step 3: Cross multiply
   71,238x = 102,667 × 102,667
4. Step 4: Simplify right side
   71,238x = 10,540,512,889
5. Step 5: Solve for x
   x = 10,540,512,889/71,238
6. Step 6: Final answer
   x = 147,961.94