Finding the Third Proportional to 505.41 and 784.27

Step by Step Solution

1. Step 1: Write the proportion equation
   505.41 : 784.27 = 784.27 : x
2. Step 2: Convert to fraction form
   505.41/784.27 = 784.27/x
3. Step 3: Cross multiply
   505.41x = 784.27 × 784.27
4. Step 4: Simplify right side
   505.41x = 615,072.57
5. Step 5: Solve for x
   x = 615,072.57/505.41
6. Step 6: Final answer
   x = 1,216.99