Finding the Third Proportional to 116.50 and 253.25

Step by Step Solution

1. Step 1: Write the proportion equation
   116.50 : 253.25 = 253.25 : x
2. Step 2: Convert to fraction form
   116.50/253.25 = 253.25/x
3. Step 3: Cross multiply
   116.50x = 253.25 × 253.25
4. Step 4: Simplify right side
   116.50x = 64,135.56
5. Step 5: Solve for x
   x = 64,135.56/116.50
6. Step 6: Final answer
   x = 550.52