Finding the Third Proportional to 786.50 and 854.50

Step by Step Solution

1. Step 1: Write the proportion equation
   786.50 : 854.50 = 854.50 : x
2. Step 2: Convert to fraction form
   786.50/854.50 = 854.50/x
3. Step 3: Cross multiply
   786.50x = 854.50 × 854.50
4. Step 4: Simplify right side
   786.50x = 730,170.25
5. Step 5: Solve for x
   x = 730,170.25/786.50
6. Step 6: Final answer
   x = 928.38