Finding the Third Proportional to 72,084 and 154,823

Step by Step Solution

1. Step 1: Write the proportion equation
   72,084 : 154,823 = 154,823 : x
2. Step 2: Convert to fraction form
   72,084/154,823 = 154,823/x
3. Step 3: Cross multiply
   72,084x = 154,823 × 154,823
4. Step 4: Simplify right side
   72,084x = 23,970,161,329
5. Step 5: Solve for x
   x = 23,970,161,329/72,084
6. Step 6: Final answer
   x = 332,530.95