Finding the Third Proportional to 392.50 and 849.25

Step by Step Solution

1. Step 1: Write the proportion equation
   392.50 : 849.25 = 849.25 : x
2. Step 2: Convert to fraction form
   392.50/849.25 = 849.25/x
3. Step 3: Cross multiply
   392.50x = 849.25 × 849.25
4. Step 4: Simplify right side
   392.50x = 721,225.56
5. Step 5: Solve for x
   x = 721,225.56/392.50
6. Step 6: Final answer
   x = 1,837.52