Finding the Third Proportional to 86,508 and 185,949

Step by Step Solution

1. Step 1: Write the proportion equation
   86,508 : 185,949 = 185,949 : x
2. Step 2: Convert to fraction form
   86,508/185,949 = 185,949/x
3. Step 3: Cross multiply
   86,508x = 185,949 × 185,949
4. Step 4: Simplify right side
   86,508x = 34,577,030,601
5. Step 5: Solve for x
   x = 34,577,030,601/86,508
6. Step 6: Final answer
   x = 399,697.49