Finding the Third Proportional to 152.51 and 408.80

Step by Step Solution

1. Step 1: Write the proportion equation
   152.51 : 408.80 = 408.80 : x
2. Step 2: Convert to fraction form
   152.51/408.80 = 408.80/x
3. Step 3: Cross multiply
   152.51x = 408.80 × 408.80
4. Step 4: Simplify right side
   152.51x = 167,114.89
5. Step 5: Solve for x
   x = 167,114.89/152.51
6. Step 6: Final answer
   x = 1,095.78