Finding the Third Proportional to 76.50 and 143.63

Step by Step Solution

1. Step 1: Write the proportion equation
   76.50 : 143.63 = 143.63 : x
2. Step 2: Convert to fraction form
   76.50/143.63 = 143.63/x
3. Step 3: Cross multiply
   76.50x = 143.63 × 143.63
4. Step 4: Simplify right side
   76.50x = 20,628.14
5. Step 5: Solve for x
   x = 20,628.14/76.50
6. Step 6: Final answer
   x = 269.65