Finding the Third Proportional to 456.75 and 801.25

Step by Step Solution

1. Step 1: Write the proportion equation
   456.75 : 801.25 = 801.25 : x
2. Step 2: Convert to fraction form
   456.75/801.25 = 801.25/x
3. Step 3: Cross multiply
   456.75x = 801.25 × 801.25
4. Step 4: Simplify right side
   456.75x = 642,001.56
5. Step 5: Solve for x
   x = 642,001.56/456.75
6. Step 6: Final answer
   x = 1,405.59