Finding the Third Proportional to 365.25 and 784.25

Step by Step Solution

1. Step 1: Write the proportion equation
   365.25 : 784.25 = 784.25 : x
2. Step 2: Convert to fraction form
   365.25/784.25 = 784.25/x
3. Step 3: Cross multiply
   365.25x = 784.25 × 784.25
4. Step 4: Simplify right side
   365.25x = 615,048.06
5. Step 5: Solve for x
   x = 615,048.06/365.25
6. Step 6: Final answer
   x = 1,683.91