Finding the Third Proportional to 89,271 and 185,949

Step by Step Solution

1. Step 1: Write the proportion equation
   89,271 : 185,949 = 185,949 : x
2. Step 2: Convert to fraction form
   89,271/185,949 = 185,949/x
3. Step 3: Cross multiply
   89,271x = 185,949 × 185,949
4. Step 4: Simplify right side
   89,271x = 34,577,030,601
5. Step 5: Solve for x
   x = 34,577,030,601/89,271
6. Step 6: Final answer
   x = 387,326.57