Finding the Third Proportional to 426.50 and 784.75

Step by Step Solution

1. Step 1: Write the proportion equation
   426.50 : 784.75 = 784.75 : x
2. Step 2: Convert to fraction form
   426.50/784.75 = 784.75/x
3. Step 3: Cross multiply
   426.50x = 784.75 × 784.75
4. Step 4: Simplify right side
   426.50x = 615,832.56
5. Step 5: Solve for x
   x = 615,832.56/426.50
6. Step 6: Final answer
   x = 1,443.92