Finding the Third Proportional to 90,867 and 185,427

Step by Step Solution

1. Step 1: Write the proportion equation
   90,867 : 185,427 = 185,427 : x
2. Step 2: Convert to fraction form
   90,867/185,427 = 185,427/x
3. Step 3: Cross multiply
   90,867x = 185,427 × 185,427
4. Step 4: Simplify right side
   90,867x = 34,383,172,329
5. Step 5: Solve for x
   x = 34,383,172,329/90,867
6. Step 6: Final answer
   x = 378,390.09