Finding the Third Proportional to 386.50 and 822.88

Step by Step Solution

1. Step 1: Write the proportion equation
   386.50 : 822.88 = 822.88 : x
2. Step 2: Convert to fraction form
   386.50/822.88 = 822.88/x
3. Step 3: Cross multiply
   386.50x = 822.88 × 822.88
4. Step 4: Simplify right side
   386.50x = 677,123.27
5. Step 5: Solve for x
   x = 677,123.27/386.50
6. Step 6: Final answer
   x = 1,751.94