Finding the Third Proportional to 152.82 and 256.13

Step by Step Solution

1. Step 1: Write the proportion equation
   152.82 : 256.13 = 256.13 : x
2. Step 2: Convert to fraction form
   152.82/256.13 = 256.13/x
3. Step 3: Cross multiply
   152.82x = 256.13 × 256.13
4. Step 4: Simplify right side
   152.82x = 65,603.02
5. Step 5: Solve for x
   x = 65,603.02/152.82
6. Step 6: Final answer
   x = 429.27