Finding the Third Proportional to 155.25 and 364.75

Step by Step Solution

1. Step 1: Write the proportion equation
   155.25 : 364.75 = 364.75 : x
2. Step 2: Convert to fraction form
   155.25/364.75 = 364.75/x
3. Step 3: Cross multiply
   155.25x = 364.75 × 364.75
4. Step 4: Simplify right side
   155.25x = 133,042.56
5. Step 5: Solve for x
   x = 133,042.56/155.25
6. Step 6: Final answer
   x = 856.96