Finding the Third Proportional to 259.03 and 556.31

Step by Step Solution

1. Step 1: Write the proportion equation
   259.03 : 556.31 = 556.31 : x
2. Step 2: Convert to fraction form
   259.03/556.31 = 556.31/x
3. Step 3: Cross multiply
   259.03x = 556.31 × 556.31
4. Step 4: Simplify right side
   259.03x = 309,483.60
5. Step 5: Solve for x
   x = 309,483.60/259.03
6. Step 6: Final answer
   x = 1,194.77