Finding the Third Proportional to 148.25 and 323.50

Step by Step Solution

1. Step 1: Write the proportion equation
   148.25 : 323.50 = 323.50 : x
2. Step 2: Convert to fraction form
   148.25/323.50 = 323.50/x
3. Step 3: Cross multiply
   148.25x = 323.50 × 323.50
4. Step 4: Simplify right side
   148.25x = 104,652.25
5. Step 5: Solve for x
   x = 104,652.25/148.25
6. Step 6: Final answer
   x = 705.92