Finding the Third Proportional to 151.78 and 352.31

Step by Step Solution

1. Step 1: Write the proportion equation
   151.78 : 352.31 = 352.31 : x
2. Step 2: Convert to fraction form
   151.78/352.31 = 352.31/x
3. Step 3: Cross multiply
   151.78x = 352.31 × 352.31
4. Step 4: Simplify right side
   151.78x = 124,124.10
5. Step 5: Solve for x
   x = 124,124.10/151.78
6. Step 6: Final answer
   x = 817.78