Finding the Third Proportional to 164.50 and 313.50

Step by Step Solution

1. Step 1: Write the proportion equation
   164.50 : 313.50 = 313.50 : x
2. Step 2: Convert to fraction form
   164.50/313.50 = 313.50/x
3. Step 3: Cross multiply
   164.50x = 313.50 × 313.50
4. Step 4: Simplify right side
   164.50x = 98,282.25
5. Step 5: Solve for x
   x = 98,282.25/164.50
6. Step 6: Final answer
   x = 597.46