Finding the Third Proportional to 81,082 and 174,150

Step by Step Solution

1. Step 1: Write the proportion equation
   81,082 : 174,150 = 174,150 : x
2. Step 2: Convert to fraction form
   81,082/174,150 = 174,150/x
3. Step 3: Cross multiply
   81,082x = 174,150 × 174,150
4. Step 4: Simplify right side
   81,082x = 30,328,222,500
5. Step 5: Solve for x
   x = 30,328,222,500/81,082
6. Step 6: Final answer
   x = 374,043.84