Finding the Third Proportional to 85,141 and 185,018

Step by Step Solution

1. Step 1: Write the proportion equation
   85,141 : 185,018 = 185,018 : x
2. Step 2: Convert to fraction form
   85,141/185,018 = 185,018/x
3. Step 3: Cross multiply
   85,141x = 185,018 × 185,018
4. Step 4: Simplify right side
   85,141x = 34,231,660,324
5. Step 5: Solve for x
   x = 34,231,660,324/85,141
6. Step 6: Final answer
   x = 402,058.47