Finding the Third Proportional to 85,911 and 174,238

Step by Step Solution

1. Step 1: Write the proportion equation
   85,911 : 174,238 = 174,238 : x
2. Step 2: Convert to fraction form
   85,911/174,238 = 174,238/x
3. Step 3: Cross multiply
   85,911x = 174,238 × 174,238
4. Step 4: Simplify right side
   85,911x = 30,358,880,644
5. Step 5: Solve for x
   x = 30,358,880,644/85,911
6. Step 6: Final answer
   x = 353,375.94