Finding the Third Proportional to 85,708 and 186,158

Step by Step Solution

1. Step 1: Write the proportion equation
   85,708 : 186,158 = 186,158 : x
2. Step 2: Convert to fraction form
   85,708/186,158 = 186,158/x
3. Step 3: Cross multiply
   85,708x = 186,158 × 186,158
4. Step 4: Simplify right side
   85,708x = 34,654,800,964
5. Step 5: Solve for x
   x = 34,654,800,964/85,708
6. Step 6: Final answer
   x = 404,335.66