Finding the Third Proportional to 152.88 and 259.69

Step by Step Solution

1. Step 1: Write the proportion equation
   152.88 : 259.69 = 259.69 : x
2. Step 2: Convert to fraction form
   152.88/259.69 = 259.69/x
3. Step 3: Cross multiply
   152.88x = 259.69 × 259.69
4. Step 4: Simplify right side
   152.88x = 67,437.60
5. Step 5: Solve for x
   x = 67,437.60/152.88
6. Step 6: Final answer
   x = 441.13