Finding the Third Proportional to 85,874 and 174,077

Step by Step Solution

1. Step 1: Write the proportion equation
   85,874 : 174,077 = 174,077 : x
2. Step 2: Convert to fraction form
   85,874/174,077 = 174,077/x
3. Step 3: Cross multiply
   85,874x = 174,077 × 174,077
4. Step 4: Simplify right side
   85,874x = 30,302,801,929
5. Step 5: Solve for x
   x = 30,302,801,929/85,874
6. Step 6: Final answer
   x = 352,875.17