Finding the Third Proportional to 85,118 and 185,162

Step by Step Solution

1. Step 1: Write the proportion equation
   85,118 : 185,162 = 185,162 : x
2. Step 2: Convert to fraction form
   85,118/185,162 = 185,162/x
3. Step 3: Cross multiply
   85,118x = 185,162 × 185,162
4. Step 4: Simplify right side
   85,118x = 34,284,966,244
5. Step 5: Solve for x
   x = 34,284,966,244/85,118
6. Step 6: Final answer
   x = 402,793.37