Finding the Third Proportional to 549.07 and 830.46

Step by Step Solution

1. Step 1: Write the proportion equation
   549.07 : 830.46 = 830.46 : x
2. Step 2: Convert to fraction form
   549.07/830.46 = 830.46/x
3. Step 3: Cross multiply
   549.07x = 830.46 × 830.46
4. Step 4: Simplify right side
   549.07x = 689,665.37
5. Step 5: Solve for x
   x = 689,665.37/549.07
6. Step 6: Final answer
   x = 1,256.06