Finding the Third Proportional to 85,885 and 186,066

Step by Step Solution

1. Step 1: Write the proportion equation
   85,885 : 186,066 = 186,066 : x
2. Step 2: Convert to fraction form
   85,885/186,066 = 186,066/x
3. Step 3: Cross multiply
   85,885x = 186,066 × 186,066
4. Step 4: Simplify right side
   85,885x = 34,620,556,356
5. Step 5: Solve for x
   x = 34,620,556,356/85,885
6. Step 6: Final answer
   x = 403,103.64