Finding the Third Proportional to 80,082 and 174,258

Step by Step Solution

1. Step 1: Write the proportion equation
   80,082 : 174,258 = 174,258 : x
2. Step 2: Convert to fraction form
   80,082/174,258 = 174,258/x
3. Step 3: Cross multiply
   80,082x = 174,258 × 174,258
4. Step 4: Simplify right side
   80,082x = 30,365,850,564
5. Step 5: Solve for x
   x = 30,365,850,564/80,082
6. Step 6: Final answer
   x = 379,184.47