Finding the Third Proportional to 108,380 and 170,238

Step by Step Solution

1. Step 1: Write the proportion equation
   108,380 : 170,238 = 170,238 : x
2. Step 2: Convert to fraction form
   108,380/170,238 = 170,238/x
3. Step 3: Cross multiply
   108,380x = 170,238 × 170,238
4. Step 4: Simplify right side
   108,380x = 28,980,976,644
5. Step 5: Solve for x
   x = 28,980,976,644/108,380
6. Step 6: Final answer
   x = 267,401.52