Finding the Third Proportional to 85,855.50 and 186,481.69

Step by Step Solution

1. Step 1: Write the proportion equation
   85,855.50 : 186,481.69 = 186,481.69 : x
2. Step 2: Convert to fraction form
   85,855.50/186,481.69 = 186,481.69/x
3. Step 3: Cross multiply
   85,855.50x = 186,481.69 × 186,481.69
4. Step 4: Simplify right side
   85,855.50x = 34,775,419,772.85
5. Step 5: Solve for x
   x = 34,775,419,772.85/85,855.50
6. Step 6: Final answer
   x = 405,045.92