Finding the Third Proportional to 78,200 and 170,734

Step by Step Solution

1. Step 1: Write the proportion equation
   78,200 : 170,734 = 170,734 : x
2. Step 2: Convert to fraction form
   78,200/170,734 = 170,734/x
3. Step 3: Cross multiply
   78,200x = 170,734 × 170,734
4. Step 4: Simplify right side
   78,200x = 29,150,098,756
5. Step 5: Solve for x
   x = 29,150,098,756/78,200
6. Step 6: Final answer
   x = 372,763.41