Finding the Third Proportional to 364.34 and 786.59

Step by Step Solution

1. Step 1: Write the proportion equation
   364.34 : 786.59 = 786.59 : x
2. Step 2: Convert to fraction form
   364.34/786.59 = 786.59/x
3. Step 3: Cross multiply
   364.34x = 786.59 × 786.59
4. Step 4: Simplify right side
   364.34x = 618,717.44
5. Step 5: Solve for x
   x = 618,717.44/364.34
6. Step 6: Final answer
   x = 1,698.18