Finding the Third Proportional to 81,077 and 174,142

Step by Step Solution

1. Step 1: Write the proportion equation
   81,077 : 174,142 = 174,142 : x
2. Step 2: Convert to fraction form
   81,077/174,142 = 174,142/x
3. Step 3: Cross multiply
   81,077x = 174,142 × 174,142
4. Step 4: Simplify right side
   81,077x = 30,325,436,164
5. Step 5: Solve for x
   x = 30,325,436,164/81,077
6. Step 6: Final answer
   x = 374,032.54