Finding the Third Proportional to 485.25 and 752.50

Step by Step Solution

1. Step 1: Write the proportion equation
   485.25 : 752.50 = 752.50 : x
2. Step 2: Convert to fraction form
   485.25/752.50 = 752.50/x
3. Step 3: Cross multiply
   485.25x = 752.50 × 752.50
4. Step 4: Simplify right side
   485.25x = 566,256.25
5. Step 5: Solve for x
   x = 566,256.25/485.25
6. Step 6: Final answer
   x = 1,166.94