Finding the Third Proportional to 80,730 and 175,993

Step by Step Solution

1. Step 1: Write the proportion equation
   80,730 : 175,993 = 175,993 : x
2. Step 2: Convert to fraction form
   80,730/175,993 = 175,993/x
3. Step 3: Cross multiply
   80,730x = 175,993 × 175,993
4. Step 4: Simplify right side
   80,730x = 30,973,536,049
5. Step 5: Solve for x
   x = 30,973,536,049/80,730
6. Step 6: Final answer
   x = 383,668.23