Finding the Third Proportional to 151.69 and 266.25

Step by Step Solution

1. Step 1: Write the proportion equation
   151.69 : 266.25 = 266.25 : x
2. Step 2: Convert to fraction form
   151.69/266.25 = 266.25/x
3. Step 3: Cross multiply
   151.69x = 266.25 × 266.25
4. Step 4: Simplify right side
   151.69x = 70,889.06
5. Step 5: Solve for x
   x = 70,889.06/151.69
6. Step 6: Final answer
   x = 467.34