Finding the Third Proportional to 85,852 and 189,148

Step by Step Solution

1. Step 1: Write the proportion equation
   85,852 : 189,148 = 189,148 : x
2. Step 2: Convert to fraction form
   85,852/189,148 = 189,148/x
3. Step 3: Cross multiply
   85,852x = 189,148 × 189,148
4. Step 4: Simplify right side
   85,852x = 35,776,965,904
5. Step 5: Solve for x
   x = 35,776,965,904/85,852
6. Step 6: Final answer
   x = 416,728.39