Finding the Third Proportional to 343.50 and 786.56

Step by Step Solution

1. Step 1: Write the proportion equation
   343.50 : 786.56 = 786.56 : x
2. Step 2: Convert to fraction form
   343.50/786.56 = 786.56/x
3. Step 3: Cross multiply
   343.50x = 786.56 × 786.56
4. Step 4: Simplify right side
   343.50x = 618,680.57
5. Step 5: Solve for x
   x = 618,680.57/343.50
6. Step 6: Final answer
   x = 1,801.11