Finding the Third Proportional to 486.56 and 931.78

Step by Step Solution

1. Step 1: Write the proportion equation
   486.56 : 931.78 = 931.78 : x
2. Step 2: Convert to fraction form
   486.56/931.78 = 931.78/x
3. Step 3: Cross multiply
   486.56x = 931.78 × 931.78
4. Step 4: Simplify right side
   486.56x = 868,216.30
5. Step 5: Solve for x
   x = 868,216.30/486.56
6. Step 6: Final answer
   x = 1,784.39