Finding the Third Proportional to 515.50 and 785.38

Step by Step Solution

1. Step 1: Write the proportion equation
   515.50 : 785.38 = 785.38 : x
2. Step 2: Convert to fraction form
   515.50/785.38 = 785.38/x
3. Step 3: Cross multiply
   515.50x = 785.38 × 785.38
4. Step 4: Simplify right side
   515.50x = 616,813.89
5. Step 5: Solve for x
   x = 616,813.89/515.50
6. Step 6: Final answer
   x = 1,196.54