Finding the Third Proportional to 392.50 and 845.38

Step by Step Solution

1. Step 1: Write the proportion equation
   392.50 : 845.38 = 845.38 : x
2. Step 2: Convert to fraction form
   392.50/845.38 = 845.38/x
3. Step 3: Cross multiply
   392.50x = 845.38 × 845.38
4. Step 4: Simplify right side
   392.50x = 714,658.89
5. Step 5: Solve for x
   x = 714,658.89/392.50
6. Step 6: Final answer
   x = 1,820.79