Finding the Third Proportional to 158.25 and 357.75

Step by Step Solution

1. Step 1: Write the proportion equation
   158.25 : 357.75 = 357.75 : x
2. Step 2: Convert to fraction form
   158.25/357.75 = 357.75/x
3. Step 3: Cross multiply
   158.25x = 357.75 × 357.75
4. Step 4: Simplify right side
   158.25x = 127,985.06
5. Step 5: Solve for x
   x = 127,985.06/158.25
6. Step 6: Final answer
   x = 808.75