Finding the Third Proportional to 118.76 and 259.03

Step by Step Solution

1. Step 1: Write the proportion equation
   118.76 : 259.03 = 259.03 : x
2. Step 2: Convert to fraction form
   118.76/259.03 = 259.03/x
3. Step 3: Cross multiply
   118.76x = 259.03 × 259.03
4. Step 4: Simplify right side
   118.76x = 67,097.19
5. Step 5: Solve for x
   x = 67,097.19/118.76
6. Step 6: Final answer
   x = 564.99