Finding the Third Proportional to 400.50 and 875.25

Step by Step Solution

1. Step 1: Write the proportion equation
   400.50 : 875.25 = 875.25 : x
2. Step 2: Convert to fraction form
   400.50/875.25 = 875.25/x
3. Step 3: Cross multiply
   400.50x = 875.25 × 875.25
4. Step 4: Simplify right side
   400.50x = 766,062.56
5. Step 5: Solve for x
   x = 766,062.56/400.50
6. Step 6: Final answer
   x = 1,912.77