Finding the Third Proportional to 151.69 and 257.06

Step by Step Solution

1. Step 1: Write the proportion equation
   151.69 : 257.06 = 257.06 : x
2. Step 2: Convert to fraction form
   151.69/257.06 = 257.06/x
3. Step 3: Cross multiply
   151.69x = 257.06 × 257.06
4. Step 4: Simplify right side
   151.69x = 66,081.13
5. Step 5: Solve for x
   x = 66,081.13/151.69
6. Step 6: Final answer
   x = 435.64