Finding the Third Proportional to 85.25 and 178.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85.25 : 178.50 = 178.50 : x
2. Step 2: Convert to fraction form
   85.25/178.50 = 178.50/x
3. Step 3: Cross multiply
   85.25x = 178.50 × 178.50
4. Step 4: Simplify right side
   85.25x = 31,862.25
5. Step 5: Solve for x
   x = 31,862.25/85.25
6. Step 6: Final answer
   x = 373.75