Finding the Third Proportional to 357.75 and 846.56

Step by Step Solution

1. Step 1: Write the proportion equation
   357.75 : 846.56 = 846.56 : x
2. Step 2: Convert to fraction form
   357.75/846.56 = 846.56/x
3. Step 3: Cross multiply
   357.75x = 846.56 × 846.56
4. Step 4: Simplify right side
   357.75x = 716,668.07
5. Step 5: Solve for x
   x = 716,668.07/357.75
6. Step 6: Final answer
   x = 2,003.27