Finding the Third Proportional to 85,036 and 185,613

Step by Step Solution

1. Step 1: Write the proportion equation
   85,036 : 185,613 = 185,613 : x
2. Step 2: Convert to fraction form
   85,036/185,613 = 185,613/x
3. Step 3: Cross multiply
   85,036x = 185,613 × 185,613
4. Step 4: Simplify right side
   85,036x = 34,452,185,769
5. Step 5: Solve for x
   x = 34,452,185,769/85,036
6. Step 6: Final answer
   x = 405,148.24