Finding the Third Proportional to 400.78 and 875.06

Step by Step Solution

1. Step 1: Write the proportion equation
   400.78 : 875.06 = 875.06 : x
2. Step 2: Convert to fraction form
   400.78/875.06 = 875.06/x
3. Step 3: Cross multiply
   400.78x = 875.06 × 875.06
4. Step 4: Simplify right side
   400.78x = 765,734.38
5. Step 5: Solve for x
   x = 765,734.38/400.78
6. Step 6: Final answer
   x = 1,910.60