Finding the Third Proportional to 85,066 and 185,698

Step by Step Solution

1. Step 1: Write the proportion equation
   85,066 : 185,698 = 185,698 : x
2. Step 2: Convert to fraction form
   85,066/185,698 = 185,698/x
3. Step 3: Cross multiply
   85,066x = 185,698 × 185,698
4. Step 4: Simplify right side
   85,066x = 34,483,747,204
5. Step 5: Solve for x
   x = 34,483,747,204/85,066
6. Step 6: Final answer
   x = 405,376.38