Finding the Third Proportional to 442.50 and 758.25

Step by Step Solution

1. Step 1: Write the proportion equation
   442.50 : 758.25 = 758.25 : x
2. Step 2: Convert to fraction form
   442.50/758.25 = 758.25/x
3. Step 3: Cross multiply
   442.50x = 758.25 × 758.25
4. Step 4: Simplify right side
   442.50x = 574,943.06
5. Step 5: Solve for x
   x = 574,943.06/442.50
6. Step 6: Final answer
   x = 1,299.31