Finding the Third Proportional to 85,871 and 189,184

Step by Step Solution

1. Step 1: Write the proportion equation
   85,871 : 189,184 = 189,184 : x
2. Step 2: Convert to fraction form
   85,871/189,184 = 189,184/x
3. Step 3: Cross multiply
   85,871x = 189,184 × 189,184
4. Step 4: Simplify right side
   85,871x = 35,790,585,856
5. Step 5: Solve for x
   x = 35,790,585,856/85,871
6. Step 6: Final answer
   x = 416,794.80