Finding the Third Proportional to 52.25 and 129.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52.25 : 129.50 = 129.50 : x
2. Step 2: Convert to fraction form
   52.25/129.50 = 129.50/x
3. Step 3: Cross multiply
   52.25x = 129.50 × 129.50
4. Step 4: Simplify right side
   52.25x = 16,770.25
5. Step 5: Solve for x
   x = 16,770.25/52.25
6. Step 6: Final answer
   x = 320.96