Finding the Third Proportional to 139.69 and 200.63

Step by Step Solution

1. Step 1: Write the proportion equation
   139.69 : 200.63 = 200.63 : x
2. Step 2: Convert to fraction form
   139.69/200.63 = 200.63/x
3. Step 3: Cross multiply
   139.69x = 200.63 × 200.63
4. Step 4: Simplify right side
   139.69x = 40,250.39
5. Step 5: Solve for x
   x = 40,250.39/139.69
6. Step 6: Final answer
   x = 288.15