Finding the Third Proportional to 400.88 and 559.69

Step by Step Solution

1. Step 1: Write the proportion equation
   400.88 : 559.69 = 559.69 : x
2. Step 2: Convert to fraction form
   400.88/559.69 = 559.69/x
3. Step 3: Cross multiply
   400.88x = 559.69 × 559.69
4. Step 4: Simplify right side
   400.88x = 313,250.10
5. Step 5: Solve for x
   x = 313,250.10/400.88
6. Step 6: Final answer
   x = 781.42