Finding the Third Proportional to 388.13 and 559.31

Step by Step Solution

1. Step 1: Write the proportion equation
   388.13 : 559.31 = 559.31 : x
2. Step 2: Convert to fraction form
   388.13/559.31 = 559.31/x
3. Step 3: Cross multiply
   388.13x = 559.31 × 559.31
4. Step 4: Simplify right side
   388.13x = 312,830.47
5. Step 5: Solve for x
   x = 312,830.47/388.13
6. Step 6: Final answer
   x = 806.00