Finding the Third Proportional to 275.25 and 442.59

Step by Step Solution

1. Step 1: Write the proportion equation
   275.25 : 442.59 = 442.59 : x
2. Step 2: Convert to fraction form
   275.25/442.59 = 442.59/x
3. Step 3: Cross multiply
   275.25x = 442.59 × 442.59
4. Step 4: Simplify right side
   275.25x = 195,889.23
5. Step 5: Solve for x
   x = 195,889.23/275.25
6. Step 6: Final answer
   x = 711.68