Finding the Third Proportional to 85,029.75 and 185,601.38

Step by Step Solution

1. Step 1: Write the proportion equation
   85,029.75 : 185,601.38 = 185,601.38 : x
2. Step 2: Convert to fraction form
   85,029.75/185,601.38 = 185,601.38/x
3. Step 3: Cross multiply
   85,029.75x = 185,601.38 × 185,601.38
4. Step 4: Simplify right side
   85,029.75x = 34,447,870,401.89
5. Step 5: Solve for x
   x = 34,447,870,401.89/85,029.75
6. Step 6: Final answer
   x = 405,127.27