Finding the Third Proportional to 85,751 and 185,812

Step by Step Solution

1. Step 1: Write the proportion equation
   85,751 : 185,812 = 185,812 : x
2. Step 2: Convert to fraction form
   85,751/185,812 = 185,812/x
3. Step 3: Cross multiply
   85,751x = 185,812 × 185,812
4. Step 4: Simplify right side
   85,751x = 34,526,099,344
5. Step 5: Solve for x
   x = 34,526,099,344/85,751
6. Step 6: Final answer
   x = 402,632.03